Bang-Yen Chen | Academic Influence

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Bang-Yen Chen

Mathematics

#1868

World Rank

#2968

Historical Rank

Algebraic Geometry

#79

World Rank

#84

Historical Rank

Measure Theory

#322

World Rank

#488

Historical Rank

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Mathematics

Bang-Yen Chen's Degrees

PhD Mathematics University of California, Berkeley
Masters Mathematics University of California, Berkeley
Bachelors Mathematics National Taiwan University

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Why Is Bang-Yen Chen Influential?

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According to Wikipedia, Chen Bang-yen is a Taiwan-born mathematician who works mainly on differential geometry and related subjects. He was a University Distinguished Professor of Michigan State University from 1990 to 2012. After 2012 he became University Distinguished professor emeritus.

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Bang-Yen Chen's Published Works

Number of citations in a given year to any of this author's works

Total number of citations to an author for the works they published in a given year. This highlights publication of the most important work(s) by the author

Published Works

Geometry of submanifolds (1973) (654)
Some pinching and classification theorems for minimal submanifolds (1993) (397)
Geometry of Slant Submanifolds (1990) (332)
Geometry of Warped Product CR-Submanifolds in Kaehler Manifolds (2001) (277)
Pseudo-riemannian Geometry, Delta-invariants And Applications (2011) (224)
Geometry of submanifolds and its applications (1981) (217)
When Does the Position Vector of a Space Curve Always Lie in Its Rectifying Plane? (2003) (204)
Totally geodesic submanifolds of symmetric spaces, I (1977) (201)
Differential Geometry of Warped Product Manifolds and Submanifolds (2017) (198)
Relations between Ricci curvature and shape operator for submanifolds with arbitrary codimensions (1999) (186)
On totally real submanifolds (1974) (186)
Slant immersions (1990) (181)
Slant immersions (1990) (181)
Total Mean Curvature and Submanifolds of Finite Type (2014) (161)
CR-submanifolds of a Kaehler manifold. II (1981) (161)
Submanifolds with finite type Gauss map (1987) (159)
Mean curvature and shape operator of isometric immersions in real-space-forms (1996) (151)
Some new obstructions to minimal and Lagrangian isometric immersions Dedicated to Professor Tadashi Nagano on the occasion of his seventieth birthday (2000) (145)
Biharmonic surfaces in pseudo Euclidean spaces (1991) (144)
BIHARMONIC PSEUDO-RIEMANNIAN SUBMANIFOLDS IN PSEUDO-EUCLIDEAN SPACES (1998) (141)
CΛ-SUBMANIFOLDS OF A KAEHLER MANIFOLD. I (1981) (134)
Totally real submanifolds (1977) (134)
Geometry of Warped Product CR-Submanifolds in Kaehler Manifolds, II (2001) (132)
Some open problems and conjectures on submanifolds of finite type: recent development (2014) (121)
A simple characterization of generalized Robertson–Walker spacetimes (2014) (116)
On CR-submanifolds of Hermitian manifolds (1979) (104)
ON ISOMETRIC MINIMAL IMMERSIONS FROM WARPED PRODUCTS INTO REAL SPACE FORMS (2002) (103)
Rectifying curves as centrodes and extremal curves (2005) (97)
Pointwise slant submanifolds in almost Hermitian manifolds (2012) (88)
Interaction of Legendre curves and Lagrangian submanifolds (1997) (84)
An exotic totally real minimal immersion of S3 in ℂP3 and its characterisation (1996) (84)
Complex extensors and Lagrangian submanifolds in complex Euclidean spaces (1997) (81)
Submanifolds of Finite Type (1984) (80)
RIEMANNIAN GEOMETRY OF LAGRANGIAN SUBMANIFOLDS (2001) (79)
Ruled Surfaces and Tubes with Finite Type Gauss Map (1993) (76)
Biharmonic ideal hypersurfaces in Euclidean spaces (2013) (74)
Warped Product Bi-slant Immersions in Kaehler Manifolds (2017) (71)
Totally real submanifolds of ℂPn satisfying a basic equality (1994) (70)
Two theorems on Kaehler manifolds. (1975) (70)
Differential geometry of real submanifolds in a Kähler manifold (1981) (66)
A general inequality for submanifolds in complex-space-forms and its applications (1996) (64)
GEOMETRY OF WARPED PRODUCTS AS RIEMANNIAN SUBMANIFOLDS AND RELATED PROBLEMS (2002) (63)
Warped Product Pointwise Bi-slant Submanifolds of Kaehler Manifolds (2017) (61)
A Riemannian geometric invariant and its applications to a problem of Borel and Serre (1988) (59)
SOME RESULTS ON CONCIRCULAR VECTOR FIELDS AND THEIR APPLICATIONS TO RICCI SOLITONS (2015) (58)
SPECIAL CONFORMALLY FLAT SPACES AND CANAL HYPERSURFACES (1973) (57)
Finite type submanifolds in pseudo-Euclidean spaces and applications (1985) (57)
On spectral decomposition of immersions of finite type (1991) (55)
Yamabe and Quasi-Yamabe Solitons on Euclidean Submanifolds (2017) (54)
A Riemannian Invariant and its Applications to Submanifold Theory (1995) (54)
Slant submanifolds of complex projective and complex hyperbolic spaces (2000) (53)
Biharmonic Submanifolds and Biharmonic Maps in Riemannian Geometry (2020) (51)
Complete classification of parallel surfaces in 4-dimensional Lorentzian space forms (2009) (51)
Ruled surfaces of finite type (1990) (50)
Null $2$-type surfaces in $E^3$ are circular cylinders (1988) (50)
SOME CHARACTERIZATIONS OF COMPLEX SPACE FORMS IN TERMS OF CHERN CLASSES (1975) (49)
Slant Submanifolds in Complex Euclidean Spaces (1991) (49)
CR-Warped Products in Complex Projective Spaces with Compact Holomorphic Factor (2004) (49)
Another general inequality for CR-warped products in complex space forms (2003) (48)
Marginally trapped surfaces in Lorentzian space forms with positive relative nullity (2007) (47)
Lagrangian isometric immersions of a real-space-form Mn(c) into a complex-space-form M˜n(4c) (1998) (47)
On rectifying curves in Euclidean 3-space (2018) (45)
Addendum to “Classification of marginally trapped Lorentzian flat surfaces in E24 and its application to biharmonic surfaces” (2008) (45)
Surfaces with parallel mean curvature vector (1972) (45)
Differential geometry of submanifolds with planar normal sections (1982) (44)
Stationary 2-type surfaces in a hypersphere (1987) (43)
On Ricci curvature of isotropic and Lagrangian submanifolds in complex space forms (2000) (41)
Surfaces with parallel normalized mean curvature vector (1980) (40)
On a Variational Problem on Hypersurfaces (1973) (40)
Harmonic metrics, harmonic tensors, and Gauss maps (1984) (40)
Some topological obstructions to Bochner-Kaehler metrics and their applications (1978) (40)
TOTAL CURVATURE IN RIEMANNIAN GEOMETRY (Ellis Horwood Series: Mathematics and Its Applications) (1984) (39)
Ricci solitons and concurrent vector fields (2014) (38)
Classification of torqued vector fields and its applications to Ricci solitons (2017) (38)
Notes on isotropic geometry of production models (2014) (38)
An invariant of conformal mappings (1973) (38)
Jacobi's elliptic functions and Lagrangian immersions (1996) (37)
OPTIMAL INEQUALITIES FOR MULTIPLY WARPED PRODUCT SUBMANIFOLDS (2008) (37)
ON THE CONCURRENT VECTOR FIELDS OF IMMERSED MANIFOLDS (1971) (37)
Chapter 3 - Riemannian Submanifolds (2000) (37)
The canonical foliations of a locally conformal Kähler manifold (1985) (35)
Solutions to homogeneous Monge-Amp\`ere equations of homothetic functions and their applications to production models in economics (2013) (35)
Representation of flat Lagrangian $H$-umbilical submanifolds in complex Euclidean spaces (1999) (35)
Optimal general inequalities for Lagrangian submanifolds in complex space forms (2011) (34)
CLASSIFICATION OF h-HOMOGENEOUS PRODUCTION FUNCTIONS WITH CONSTANT ELASTICITY OF SUBSTITUTION (2012) (34)
Classification of marginally trapped surfaces with parallel mean curvature vector in Lorentzian space forms (2010) (34)
Lagrangian submanifolds satisfying a basic equality (1996) (34)
Curvature inequalities for Lagrangian submanifolds: The final solution (2013) (34)
Ideal Lagrangian immersions in complex space forms (2000) (33)
ON THE TOTAL CURVATURE OF IMMERSED MANIFOLDS, I: AN INEQUALITY OF FENCHEL-BORSUK-WILLMORE. (1971) (33)
Special Slant Surfaces and a Basic Inequality (1998) (33)
Classification of Wintgen ideal surfaces in Euclidean 4-space with equal Gauss and normal curvatures (2010) (33)
Existence and Uniqueness Theorem for Slant Immersions and Its Applications (1997) (32)
Classification of marginally trapped Lagrangian surfaces in Lorentzian complex space forms (2007) (32)
Rectifying curves and geodesics on a cone in the Euclidean 3-space (2017) (32)
Deformations of isotropic submanifolds in Kähler manifolds (1994) (32)
Characterizing a class of totally real submanifolds of $S^6$ by their sectional curvatures (1995) (32)
Geometry of compact shrinking Ricci solitons (2014) (32)
Scalar curvature, inequality and submanifold (1973) (31)
Isometric, holomorphic and symplectic reflections (1989) (31)
Spatial and Lorentzian surfaces in Robertson-Walker space times (2007) (31)
A survey on geometry of warped product submanifolds (2013) (31)
Characterizations of Riemannian space forms, Einstein spaces and conformally flat spaces (1999) (31)
Energy, tension and finite type maps (1986) (30)
Some characterizations of complex space forms (1973) (30)
ON CLASSIFICATION OF SOME SURFACES OF REVOLUTION OF FINITE TYPE (1993) (30)
Classification of quasi-minimal slant surfaces in Lorentzian complex space forms (2009) (30)
On some geometric properties of quasi-sum production models (2012) (29)
Submanifolds with geodesic normal sections (1984) (29)
Geometric classifications of homogeneous production functions (2013) (29)
Quadrics of finite type (1990) (28)
Recent developments of biharmonic conjecture and modified biharmonic conjectures (2013) (28)
Classification of spatial surfaces with parallel mean curvature vector in pseudo-Euclidean spaces of arbitrary dimension (2009) (27)
WHAT CAN WE DO WITH NASH'S EMBEDDING THEOREM ? (2004) (26)
The two-dimensional Riemann problem for Chaplygin gas dynamics with three constant states ☆ (2012) (26)
AN OPTIMAL INEQUALITY FOR CR-WARPED PRODUCTS IN COMPLEX SPACE FORMS INVOLVING CR δ-INVARIANT (2012) (26)
Surfaces with Mean Curvature Vector Parallel in the Normal Bundle (1972) (25)
Lagrangian surfaces in complex Euclidean plane via spherical and hyperbolic curves (2006) (24)
Black holes, marginally trapped surfaces and quasi-minimal surfaces (2009) (24)
Pseudo-umbilical submanifolds of a Riemannian manifold of constant curvature, II (1973) (24)
Cohomology of CR-submanifolds (1981) (24)
Classification of Quasi-Minimal Surfaces with Parallel Mean Curvature Vector in Pseudo-Euclidean 4-Space $${\mathbb E}^4_2$$ (2009) (24)
CR-submanifolds of complex hyperbolic spaces satisfying a basic equality (1999) (24)
Geometry of position functions of Riemannian submanifolds in pseudo-Euclidean space (2002) (23)
Totally umbilical submanifolds of Kaehler manifolds (1981) (23)
δ-invariants and their applications to centroaffine geometry (2005) (23)
Minimal surfaces with constant Gauss curvature (1972) (23)
On submanifolds of submanifolds of a Riemannian manifold (1971) (23)
Topics in differential geometry associated with position vector fields on Euclidean submanifolds (2017) (23)
Classification of minimal Lorentz surfaces in indefinite space forms with arbitrary codimension and arbitrary index (2011) (23)
Rectifying submanifolds of Riemannian manifolds and torqued vector fields (2017) (22)
Non-immersion theorems for warped products in complex hyperbolic spaces (2002) (22)
On a theorem of Fenchel-Borsuk-Willmore-Chern-Lashof (1971) (22)
Spherical submanifolds which are of 2-type via the second standard immersion of the sphere (1987) (22)
Riemannian submersions, minimal immersions and cohomology class (2005) (22)
Differential geometry of rectifying submanifolds (2016) (22)
Geometry of quasi-sum production functions with constant elasticity of substitution property (2013) (22)
Riemannian submersions, δ-invariants, and optimal inequality (2012) (21)
On warped product immersions (2005) (21)
A general optimal inequality for warped products in complex projective spaces and its applications (2003) (21)
A Chen First Inequality for Statistical Submanifolds in Hessian Manifolds of Constant Hessian Curvature (2019) (21)
Some classification theorems for submanifolds in Minkowski space-time (1994) (21)
Totally real submanifolds of a quaternion projective space (1979) (21)
Some 2-type submanifolds and applications (1988) (21)
Two equivariant totally real immersions into the nearly Kahler 6-sphere and their characterization (1995) (21)
CLASSIFICATION OF RICCI SOLITONS ON EUCLIDEAN HYPERSURFACES (2014) (21)
Ricci curvature of real hypersurfaces in complex hyperbolic space (2002) (21)
Convolution of Riemannian manifolds and its applications (2002) (20)
Slant surfaces of codimension two (1990) (20)
CLASSIFICATION OF HOMOTHETIC FUNCTIONS WITH CONSTANT ELASTICITY OF SUBSTITUTION AND ITS GEOMETRIC APPLICATIONS (2012) (20)
δ(2)-ideal null 2-type hypersurfaces of Euclidean space are spherical cylinders (2012) (20)
Umbilical submanifolds with respect to a nonparallel normal direction (1973) (20)
$\delta$-Invariants, Inequalities of Submanifolds and Their Applications (2013) (19)
On the theory of normal variations (1978) (19)
Geometry of PR-warped products in para-Kaehler manifolds (2011) (19)
Classification of Lagrangian surfaces of constant curvature in complex projective plane (2005) (19)
Complete classification of spatial surfaces with parallel mean curvature vector in arbitrary non-flat pseudo-Riemannian space forms (2009) (19)
More on Convolution of Riemannian Manifolds (2002) (19)
LAGRANGIAN MINIMAL ISOMETRIC IMMERSIONS OF A LORENTZIAN REAL SPACE FORM INTO A LORENTZIAN COMPLEX SPACE FORM (2002) (19)
Natural mates of Frenet curves in Euclidean 3-space (2018) (19)
A tour through $\delta$-invariants: From Nash's embedding theorem to ideal immersions, best ways of living and beyond (2013) (19)
An explicit formula of Hessian determinants of composite functions and its applications (2012) (19)
Hopf Hypersurfaces with Constant Principal Curvatures in Complex Projective or Complex Hyperbolic Spaces (2001) (18)
Complete classification of parallel spatial surfaces in pseudo-Riemannian space forms with arbitrary index and dimension (2010) (18)
ON SLANT SURFACES (1999) (18)
Classification of surfaces with planar normal sections (1983) (18)
-Invariants, Inequalities of Submanifolds and Their Applications Dedicated to Prof. Leopold Verstraelen on the occasion of his 60th birthday (2013) (17)
Submanifolds with parallel mean curvature vector in Riemannian and indefinite space forms (2013) (17)
Classification of marginally trapped surfaces of constant curvature in Lorentzian complex plane (2009) (17)
THE GEOMETRY OF EYE AND BRAIN (2004) (17)
Submanifolds in de sitter space-time satisfying ΔH=λH (1995) (17)
Totally umbilical submanifolds of quaternion-space-forms (1978) (17)
Statistical Solitons and Inequalities for Statistical Warped Product Submanifolds (2019) (17)
Classification of space-times satisfying some pseudo-symmetry type conditions (2004) (16)
A variational minimal principle characterizes submanifolds of finite type (1993) (16)
Maslovian Lagrangian surfaces of constant curvature in complex projective or complex hyperbolic planes (2005) (16)
Construction of Lagrangian surfaces in complex Euclidean plane with Legendre curves (2006) (16)
Lagrangian submanifolds in complex space forms satisfying an improved equality involving $\delta(2,2)$ (2013) (16)
$G$-total curvature of immersed manifolds (1972) (16)
Elliptic functions, theta function and hypersurfaces satisfying a basic equality (2001) (16)
Total Mean Curvature (1984) (15)
Differential Geometry of Submanifolds of Warped Product Manifolds I × f Sm−1(k) (2009) (15)
Linearly independent, orthogonal and equivariant immersions (1991) (15)
TWO OPTIMAL INEQUALITIES FOR ANTI-HOLOMORPHIC SUBMANIFOLDS AND THEIR APPLICATIONS (2013) (15)
Classification of totally umbilical submanifolds in symmetric spaces (1980) (15)
Warped Products in Real Space Forms (2004) (15)
Addendum to: Existence and Uniqueness Theorem for Slant Immersions and its Applications (2001) (14)
COMPLETE CLASSIFICATION OF LORENTZ SURFACES WITH PARALLEL MEAN CURVATURE VECTOR IN ARBITRARY PSEUDO-EUCLIDEAN SPACE (2010) (14)
COMPLETE CLASSIFICATION OF PARALLEL LORENTZIAN SURFACES IN LORENTZIAN COMPLEX SPACE FORMS (2010) (14)
Immersions with geodesics of 2-type (1992) (14)
MARGINALLY TRAPPED SURFACES AND KALUZA-KLEIN THEORY (2009) (14)
SPHERICAL SUBMANIFOLDS WITH FINITE TYPE SPHERICAL GAUSS MAP (2007) (14)
Quadric hypersurfaces of finite type (1992) (14)
Classification of Lagrangian surfaces of constant curvature in complex hyperbolic plane (2005) (13)
Recent developments in Wintgen inequality and Wintgen ideal submanifolds (2021) (13)
Manifolds with vanishing Weyl or Bochner curvature tensor (1975) (13)
Intrinsic and extrinsic structures of Lagrangian surfaces in complex space forms (1998) (13)
GROWTH ESTIMATES FOR WARPING FUNCTIONS AND THEIR GEOMETRIC APPLICATIONS (2009) (13)
Lagrangian surfaces of constant curvature in complex Euclidean plane (2004) (13)
Dependence of the Gauss--Codazzi equations and the Ricci equation of Lorentz surfaces (2009) (13)
On the Total Curvature of Immersed Manifolds, III: Surfaces in Euclidean 4-Space (1973) (13)
Lagrangian submanifolds in para-Kähler manifolds (2010) (13)
Recent developments in δ-Casorati curvature invariants (2021) (12)
Maslovian Lagrangian immersions of real space forms into complex space forms (2004) (12)
On normal connection of Kaehler submanifolds (1975) (11)
The spectrum of the Laplacian of Kähler manifolds (1980) (11)
Geometry of pointwise CR-slant warped products in Kaehler manifolds (2020) (11)
Extrinsic spheres in Kähler manifolds. II. (1976) (11)
ON AN INEQUALITY OF T. J. WILLMORE (1970) (11)
THE CONTACT NUMBER OF A EUCLIDEAN SUBMANIFOLD (2004) (11)
Minimal hypersurfaces in an $m$-sphere (1971) (11)
Review: Kentaro Yano and Masahiro Kon, $CR$ submanifolds of Kaehlerian and Sasakian manifolds (1983) (11)
ON GROWTH AND FORM AND GEOMETRY. I (2012) (11)
Classification of surfaces with pointwise planar normal sections and its application to Fomenko's conjecture (1986) (11)
CLASSIFICATION OF IDEAL SUBMANIFOLDS OF REAL SPACE FORMS WITH TYPE NUMBER ≤ 2 (2014) (11)
The Segre imbedding and its converse (1985) (11)
Extrinsic Characterizations of Circles in a Complex Projective Space Imbedded in a Euclidean Space (1996) (11)
NONEXPANSIVE RETRACTIONS ONTO CLOSED CONVEX CONES IN BANACH SPACES (2009) (10)
A GENERAL OPTIMAL INEQUALITY FOR ARBITRARY RIEMANNIAN SUBMANIFOLDS (2005) (10)
Real submanifolds of a Kahler manifold (1984) (10)
Extrinsic spheres in compact symmetric spaces are intrinsic spheres. (1977) (10)
Submanifolds with totally geodesic Gauss image (1984) (10)
On Jacobi-Type Vector Fields on Riemannian Manifolds (2019) (10)
Euclidean Submanifolds via Tangential Components of Their Position Vector Fields (2017) (10)
CLASSIFICATION OF LAGRANGIAN SURFACES OF CONSTANT CURVATURE IN THE COMPLEX EUCLIDEAN PLANE (2005) (10)
Lagrangian submanifolds in complex space forms attaining equality in a basic inequality (2012) (10)
$\delta$(3)-ideal null 2-type hypersurfaces in Euclidean spaces (2014) (10)
Euclidean submanifolds with conformal canonical vector field (2017) (10)
A link between torse-forming vector fields and rotational hypersurfaces (2017) (10)
Concircular vector fields and pseudo-Kaehler manifolds (2016) (10)
On the mean curvature of submanifolds of euclidean space (1971) (10)
Sharp Growth Estimates for Warping Functions in Multiply Warped Product Manifolds (2018) (10)
GEOMETRY OF ${\mathcal{P}} R$-WARPED PRODUCTS IN PARA-KÄHLER MANIFOLDS (2012) (10)
Three additional families of Lagrangian surfaces of constant curvature in complex projective plane (2006) (9)
On the total absolute curvature of manifolds immersed in Riemannian manifold (1970) (9)
A General Inequality for Kählerian Slant Submanifolds and Related Results (2001) (9)
ISOMETRIC IMMERSIONS OF CONTACT RIEMANNIAN MANIFOLDS IN REAL SPACE FORMS (2005) (9)
Real hypersurfaces in complex space forms which are warped products (2002) (9)
A generalized Wintgen inequality for quaternionic CR-submanifolds (2020) (9)
Pseudo-umbilical surfaces with constant Gauss curvature (1972) (9)
Classification of Lagrangian submanifolds in complex space forms satisfying a basic equality involving δ(2,2) (2012) (9)
A Riemannian invariant and its applications to Einstein manifolds (2004) (9)
On purely real surfaces in Kaehler surfaces (2010) (9)
Addendum to: Differential Geometry of Rectifying Submanifolds (2017) (9)
Lagrangian submanifolds of the complex hyperbolic space (2002) (9)
Classification of Hamiltonian-stationary Lagrangian submanifolds of constant curvature in CP3 with positive relative nullity (2008) (9)
On Wintgen ideal surfaces (2013) (9)
Classification of Flat Lagrangian Surfaces in Complex Lorentzian Plane (2007) (9)
Examples and classification of Riemannian submersions satisfying a basic equality (2005) (9)
Local rigidity theorems of 2-type hypersurfaces in a hypersphere (1991) (8)
Geometry of Affine Warped Product Hypersurfaces (2005) (8)
Submanifolds umbilical with respect to a non-parallel normal subbundle (1973) (8)
Classification of tensor product immersions which are of 1-type (1994) (8)
Two-numbers and their applications - A survey (2018) (8)
Warped Product Manifolds (2017) (8)
ON STABLE SUBMANIFOLDS WITH PARALLEL MEAN CURVATURE VECTOR (1975) (8)
Total curvatures of geodesic spheres (1979) (8)
A DIFFERENTIAL EQUATIONS FOR FRENET CURVES IN EUCLIDEAN 3-SPACE AND ITS APPLICATIONS (2018) (8)
Some implications of the Euler-Poincaré characteristic for complete intersection manifolds (1974) (8)
LAGRANGIAN $H$-UMBILICAL SUBMANIFOLDS OF PARA-KÄHLER MANIFOLDS (2011) (8)
Submanifolds of restricted type (1993) (8)
Bi-warped Product Submanifolds of Nearly Kaehler Manifolds (2020) (8)
CR-Warped Submanifolds in Kaehler Manifolds (2016) (8)
Minimal flat Lorentzian surfaces in Lorentzian complex space forms (2008) (8)
Mixed foliate CR-submanifolds in a complex hyperbolic space are non-proper (1988) (8)
Real hypersurfaces in nonflat complex space forms are irreducible (2003) (8)
Euclidean submanifolds with incompressible canonical vector field (2018) (8)
Classification of flat slant surfaces in complex Euclidean plane (2002) (8)
Differential geometry of SO(n+2)/SO(2) × SO(n), I (1975) (8)
Classification of slumbilical submanifolds in complex space forms (2002) (8)
A general inequality for conformally flat submanifolds and its applications (2005) (8)
An Optimal Inequality and Extremal Classes of Affine Spheres in Centroaffine Geometry (2005) (7)
Classification of spherical Lagrangian submanifolds in complex Euclidean spaces (2013) (7)
RIEMANNIAN SUBMANIFOLDS: A SURVEY (2013) (7)
On an inequality of mean curvatures of higher degree (1971) (7)
Hypersurfaces of restricted type in Minkowski space (1996) (7)
On the Total Curvature of Immersed Manifolds, II: Mean Curvature and Length of Second Fundamental Form (1972) (7)
Submanifolds in a euclidean hypersphere (1971) (7)
Totally geodesic submanifolds of symmetric spaces, III (2013) (7)
Classification of a family of Hamiltonian-stationary Lagrangian submanifolds in C$^{n}$ (2006) (7)
Some results about concircular vector fields on Riemannian manifolds (2020) (7)
On ideal hypersurfaces of Euclidean 4-space (2013) (7)
Chen’s Biharmonic Conjecture and Submanifolds with Parallel Normalized Mean Curvature Vector (2019) (7)
On some geometric properties of quasi-product production models (2015) (7)
Inequalities between volume, center of mass, circumscribed radius, order, and mean curvature (1995) (7)
Realization of Robertson–Walker spacetimes as affine hypersurfaces (2007) (7)
Totally real bisectional curvature, Bochner-Kaehler and Einstein-Kaehler manifolds * (1999) (7)
Constant mean curvature hypersurfaces with constant δ-invariant (2003) (7)
Hamiltonian-stationary Lagrangian surfaces of constant curvature ε in complex space form M̃2(4ε) (2009) (7)
Classification of $\delta(2,n-2)$-ideal Lagrangian submanifolds in $n$-dimensional complex space forms (2017) (6)
Surfaces with a parallel isoperimetric section (1973) (6)
Erratum: “Classification of marginally trapped Lagrangian surfaces in Lorentzian complex space form” [J. Math. Phys. 48, 013509 (2007)] (2008) (6)
$p$-harmonic morphisms, cohomology classes and submersions (2009) (6)
On an integral formula of Gauss-Bonnet-Grotemeyer (1971) (6)
Some estimates of total tension and their applications (1987) (6)
New characterizations of $W$-curves (2006) (6)
Geometry of warped product and CR-warped product submanifolds in Kaehler manifolds: modified version (2018) (6)
A Series of Kahlerian Invariants and Their Applications to Kahlerian Geometry Dedicated to Professor David E. Blair on his 60th birthday (2001) (6)
Submanifolds of warped product manifolds I ×f S m−1 (k) from a p-harmonic viewpoint (2008) (6)
Complete classification of parallel Lorentz surfaces in neutral pseudo hyperbolic 4-space (2010) (6)
Laplace Transformations of Submanifolds (2013) (6)
Warped product decompositions of real space forms and Hamiltonian-stationary Lagrangian submanifolds (2008) (6)
COMPACT HYPERSURFACES DETERMINED BY A SPECTRAL VARIATIONAL PRINCIPLE (1995) (6)
Warped Product Bi-slant Immersions in Kaehler Manifolds (2017) (6)
A characterization of the complex sphere. (1975) (6)
Compact Kaehler manifolds with constant generalized scalar curvature (1976) (6)
Symplectic reflections and complex space forms (1991) (5)
Riemannian DNA, Inequalities and Their Applications (2000) (5)
Solution of the system of nonlinear PDEs characterizing CES property under quasi-homogeneity conditions (2021) (5)
Some integral formulas of the Gauss-Kronecker curvature (1968) (5)
Complete classification of parallel Lorentz surfaces in four-dimensional neutral pseudosphere (2010) (5)
Differential geometry of tensor product immersions (1993) (5)
Gradient solitons on statistical manifolds (2020) (5)
An extremal class of conformally flat submanifolds in Euclidean spaces (2006) (5)
CONFORMALLY FLAT HYPERSURFACES IN REAL SPACE FORMS WITH LEAST TENSION (2004) (5)
EXPLICIT CLASSIFICATION OF PARALLEL LORENTZ SURFACES IN 4D INDEFINITE SPACE FORMS WITH INDEX 3 (2010) (5)
Lagrangian minimal surfaces in Lorentzian complex plane (2008) (5)
CLASSIFICATION OF A FAMILY OF HAMILTONIAN-STATIONARY LAGRANGIAN SUBMANIFOLDS IN COMPLEX HYPERBOLIC 3-SPACE (2008) (5)
Rigidity theorems for surfaces in euclidean space (1972) (5)
ON PURELY REAL SURFACES WITH HARMONIC WIRTINGER FUNCTION IN COMPLEX SPACE FORMS (2009) (4)
Some new characterizations of Veronese surface and standard flat tori (1984) (4)
On an Inequality of Mean Curvature (1972) (4)
A note on the centroid set of compact symmetric spaces of rank one (1992) (4)
Differential Geometry of Submanifolds in Complex Space Forms Involving δ-Invariants (2022) (4)
Flat slant surfaces in complex projective and complex hyperbolic planes (2003) (4)
A characterization of standard flat tori (1973) (4)
Surfaces of curvature $łambda_N=0$ in $E^{2+N}$ (1969) (4)
A cohomology class for totally real surface in C^2 (1995) (4)
ON PURELY REAL SURFACES IN KAEHLER SURFACES AND LORENZ SURFACES IN LORENZIAN KAEHLER SURFACES (2013) (4)
A Variational Minimal Principle and its Applications (1996) (4)
ON CR-SUBMANIFOLDS OF (1979) (4)
Immersions with many circular geodesics (1992) (4)
The Cubic Representation of a Submanifold (1994) (4)
Geometry of Pointwise Semi-slant Warped Products in Locally Conformal Kaehler Manifolds (2020) (4)
Eigenvalues of a Natural Operator of Centro-ane and Graph Hypersurfaces (2006) (4)
First normal bundle of ideal Lagrangian immersions in complex space forms (2005) (4)
Inequalities for the Casorati Curvature of Totally Real Spacelike Submanifolds in Statistical Manifolds of Type Para-Kähler Space Forms (2021) (4)
Euler characteristics and codimensions of complete intersections (1978) (4)
Differential geometry of tensor product immersions II (1994) (4)
Surfaces with high contact number and their characterization (2006) (4)
Some relations between differential geometric invariants and topological invariants of submanifolds (1976) (4)
Purely Real Surfaces in Non-Flat Complex Space Forms Satisfying a Basic Equality (2009) (4)
Classification Theorems for Space-Like Surfaces in 4-Dimensional Indefinite Space Forms with Index 2 (2011) (4)
On the difference curvature of surfaces in euclidean space (1970) (4)
Complete explicit classification of parallel Lorentz surfaces in arbitrary pseudo-Euclidean spaces (2010) (4)
Chen inequalities for statistical submersions between statistical manifolds (2021) (4)
Wintgen Ideal Surfaces in Four-dimensional Neutral Indefinite Space Form $${R^4_2(c)}$$ (2012) (3)
Finite type spherical submanifolds (1986) (3)
A CONSTRUCTION METHOD OF LAGRANGIAN SURFACES IN COMPLEX PSEUDO-EUCLIDEAN PLANE C(1,2) AND ITS APPLICATIONS (2014) (3)
On the support functions and spherical submanifolds (1971) (3)
Holonomy Groups of Normal Bundles, II (1978) (3)
A minimal immersion of the hyperbolic plane into the neutral pseudo-hyperbolic 4-space and its characterization (2010) (3)
SEGRE EMBEDDING AND RELATED MAPS AND IMMERSIONS IN DIFFERENTIAL GEOMETRY (2013) (3)
On the scalar curvature of immersed manifolds (1971) (3)
Geometry of Chen invariants in statistical warped product manifolds (2020) (3)
Reflections and symmetries in compact symmetric spaces (1988) (3)
RIEMANNIAN SUBMANIFOLDS WITH CONCIRCULAR CANONICAL FIELD (2019) (3)
CLASSIFICATION OF FLAT LAGRANGIAN H -UMBILICAL SUBMANIFOLDS IN PARA-K¨AHLER n -PLANE (2011) (3)
Minimal surfaces in ^{} with Gauss curvature ≤0 (1972) (3)
Geometric Inequalities for Warped Products in Riemannian Manifolds (2021) (3)
Erratum to: Two Optimal Inequalities for Anti-holomorphic Submanifolds and Their Applications (2018) (3)
Some Integral Formulas for Hyper-Surfaces in Euclidean Spaces (1971) (3)
Differential Geometry of Identity Maps: A Survey (2020) (3)
The 2-ranks of connected compact Lie groups (2013) (2)
Riemann surfaces in complex projective spaces (1972) (2)
Harmonic forms and generalized solitons (2021) (2)
On the scalar curvature and sectional curvatures of a Kaehler submanifold (1973) (2)
Exact Solutions of a Class of Differential Equations of Lame's Type and Its Applications to Contact Geometry (2000) (2)
Correction to: “Geometry of affine warped product hypersurfaces” (2005) (2)
Slant Surfaces with Prescribed Gaussian Curvature (2002) (2)
Riemannian submersions with minimal fibers and affine hypersurfaces (2007) (2)
Lagrangian submanifolds with prescribed second fundamental form (2013) (2)
PSEUDO-UMBILICAL SUBMANIFOLDS OF CODIMENSION 3 WITH CONSTANT MEAN CURVATURE (1973) (2)
Correction 'Some results of Chern-do Carmo-Kobayashi Type and the Length of Second Fundamental Form' (1972) (2)
Total mean curvature of immersed surfaces in (1976) (2)
Pseudo-umbilical surfaces in euclidean spaces (1971) (2)
A remark on minimal imbedding of surfaces in $E^{4}$ (1968) (2)
Correction to: Geometry of Warped Product CR-submanifolds in Kaehler Manifolds (2018) (2)
Complete intersection manifolds with extremal Euler-Poincaré characteristics (1975) (2)
A Wintgen type inequality for surfaces in 4D neutral pseudo-Riemannian space forms and its applications to minimal immersions (2013) (2)
STABILITY OF THE CHARACTERISTIC VECTOR FIELD OF A SASAKIAN MANIFOLD (2004) (2)
On compact Einstein-Kaehler manifolds (1975) (2)
A link between harmonicity of 2-distance functions and incompressibility of canonical vector fields (2018) (2)
GEOMETRY OF POSITION FUNCTION OF TOTALLY REAL SUBMANIFOLDS IN COMPLEX EUCLIDEAN SPACES (2013) (2)
IN MEMORY OF FRANKI DILLEN (2014) (2)
PMC Biconservative Surfaces in Complex Space Forms (2021) (1)
SOLUTIONS TO OVER-DETERMINED SYSTEMS OF PARTIAL DIFFERENTIAL EQUATIONS RELATED TO HAMILTONIAN STATIONARY LAGRANGIAN SURFACES (2012) (1)
A NOTE ON CLOSED HYPERELASTICAE IN S 3 (2004) (1)
Complex submanifolds of some Hermitian symmetric spaces (1978) (1)
Intrinsic characterization of certain conformally flat spaces (1973) (1)
On the spectrum of □1,1 on Kaehler manifolds (1983) (1)
Conformal vector fields and Yamabe solitons (2018) (1)
Totally umbilical submanifolds in irreducible symmetric spaces (1982) (1)
Conformal mappings and first eigenvalue of Laplacian on surfaces (2013) (1)
Chern classes and Bochner-Kaehler metrics (1981) (1)
An optimal inequality and an extremal class of graph hypersurfaces in affine geometry (2004) (1)
Classification of Lagrangian surfaces of curvature ɛ in non-flat Lorentzian complex space form $$ \tilde M_1^2 (4\varepsilon ) $$) (2009) (1)
Characterizations of space forms by hypersurfaces (1981) (1)
An integral formula for submanifolds and its application (1972) (1)
TOTAL MEAN CURVATURE OF IMMERSED SURFACES IN Em (2010) (1)
CR-submanifolds of Kähler Manifolds (2017) (1)
SOME INTEGRAL FORMULAS FOR HYPERSURFACES IN EUCLIDEAN (2004) (1)
Lagrangian submanifolds in complex space forms satisfying equality in the optimal inequality involving δ(2,…,2)\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{ (2020) (1)
Nearly Kähler Manifolds and Nearly Kähler S6(1) (2011) (1)
Conformally Flat Spaces of Codimension 2 in a Euclidean Space (1973) (1)
SOME INTEGRAL FORMULAS FOR HYPERSURFACES IN EUCLIDEAN (2004) (1)
Ideal hypersurfaces of Euclidean four-space (2013) (1)
Borsuk-Ulam Theorem and Maximal Antipodal Sets of Compact Symmetric Spaces (2017) (1)
A survey on Geometry of Slant Submanifolds (2013) (1)
Immersions in a euclidean-space of a compact symmetrical space of rank one with simple geodesics (1987) (0)
On the Ricci Tensor of Hypersurfaces of Complex Projective Space (1976) (0)
Biharmonic Submanifolds and Biharmonic Conjectures (2014) (0)
EINSTEIN MANIFOLDS AS AFFINE HYPERSURFACES (2015) (0)
Circles in compact homogeneous Riemannian spaces and immersions of finite type (2002) (0)
Warped Product Submanifolds of Kähler Manifolds (2017) (0)
Applications to Contact Geometry (2011) (0)
Value-distributions of Some Deformation Invariants for Bochner-Kaehler Manifolds (1976) (0)
Basics on Pseudo-Riemannian Submanifolds (2011) (0)
A generalized Wintgen inequality for quaternionic CR-submanifolds (2020) (0)
Applications to Kähler and Para-Kähler Geometry (2011) (0)
A simple characterization of generalized Robertson–Walker spacetimes (2014) (0)
Hodge Theory, Elliptic Differential Operators and Jacobi's Elliptic Functions (2011) (0)
Lagrangian submanifolds in complex space forms satisfying equality in the optimal inequality involving $$\delta (2,\ldots ,2)$$ δ ( 2 (2020) (0)
Sub-manifolds whose normal sections are geodesics (1981) (0)
Differential Geometry of 1-type Submanifolds and Submanifolds with 1-type Gauss Map (2023) (0)
Robertson-Walker Spacetimes and Schwarzschild Solution (2017) (0)
HODGE THEORY AND SPECTRAL GEOMETRY (1984) (0)
COMPLEX SUBMANIFOLDS OF SOME HERMITIAN (1978) (0)
Totally umbilical submanifolds of Kaehler manifolds II (1983) (0)
Riemannian Geometry and Applications Bucharest , Romania δ-INVARIANTS FOR LAGRANGIAN SUBMANIFOLDS OF COMPLEX SPACE FORMS (2014) (0)
Riemannian and Pseudo-Riemannian Manifolds (2014) (0)
Pseudo-Riemannian Manifolds (2011) (0)
Special Pseudo-Riemannian Submanifolds (2011) (0)
Bi-warped Product Submanifolds of Nearly Kaehler Manifolds (2019) (0)
More on CR-warped Products in Complex Space Forms (2017) (0)
Some links between $F$-harmonicity, submersion and cohomology (2023) (0)
Results in Mathematics EXISTENCE AND UNIQUENESS THEOREM FOR SLANT IMMERSIONS AND ITS APPLICATIONS (0)
Review: Aurel Bejancu, Geometry of CR-submanifolds (1987) (0)
Warped Products in Sasakian Manifolds (2017) (0)
δ(2)-ideal Immersions (2011) (0)
J ul 2 02 1 Harmonic forms and generalized solitons (2021) (0)
CR-Submanifolds and $$\delta $$-Invariants (2016) (0)
Shorter Notes: Submanifolds in a Euclidean Hypersphere (1971) (0)
Geometry of bi-warped product submanifolds in Sasakian and cosymplectic manifolds (2022) (0)
$\delta$-invariants for Lagrangian submanifolds of complex space forms (2013) (0)
Warped Products in Affine Spaces (2017) (0)
Some integral inequalities of two geometric invariants (1975) (0)
A Comprehensive Survey on Parallel Submanifolds in Riemannian and Pseudo-Riemannian Manifolds (2019) (0)
CR-Submanifolds and δ-Invariants (2020) (0)
δ-invariants, Submersions and Warped Products (2017) (0)
Sharp inequalities and solitons for statistical submersions (2023) (0)
Yamabe and Quasi-Yamabe Solitons on Euclidean Submanifolds (2018) (0)
Pseudo-Riemannian Submersions (2011) (0)
B.-Y. CHEN INEQUALITIES FOR SLANT SUBMANIFOLDS IN KENMOSU SPACE FORMS Simona COSTACHE 1 (2008) (0)
On conformal collineation and almost Ricci solitons (2022) (0)
Sequential natural mates of Frenet curves in Euclidean 3-space (2021) (0)
Helgason spheres of compact symmetric spaces and immersions of finite type (2001) (0)
Applications of Finite Type Theory (2014) (0)
Contact Metric Manifolds and Submanifolds (2011) (0)
Differential geometry : proceedings of a conference held at Michigan State University (1976) (0)
My education in differential geometry and my indebtedness (2020) (0)
Pseudo-Kähler Manifolds (2011) (0)
Warped Products in Riemannian and Kähler Manifolds (2017) (0)
Robertson–Walker Spacetimes (2011) (0)
Generic Submanifolds of Kähler Manifolds (2017) (0)
Para-Kähler Manifolds (2011) (0)
Applications to Riemannian Submersions (2011) (0)
Construction of Hamiltonian-stationary Lagrangian submanifolds of constant curvature $\varepsilon$ in complex space forms $\tilde M^n(4\varepsilon) (2013) (0)
D G ] 2 4 D ec 2 01 7 EUCLIDEAN SUBMANIFOLDS WITH CONFORMAL CANONICAL VECTOR FIELD (2021) (0)
Covering maps and ideal embeddings of compact homogeneous spaces (2017) (0)
Some Applications of δ-invariants (2011) (0)
Some remarks on conformal collineation and almost Ricci solitons (2022) (0)
Applications to Affine Geometry (2011) (0)
PEM volume 18 issue 4 Back matter (1973) (0)
δ-Invariants for Langrangian submanifolds of complex space forms (2011) (0)
CLASSIFICATION OF FLAT PSEUDO-K AHLER SUBMANIFOLDS IN COMPLEX PSEUDO-EUCLIDEAN SPACES (2011) (0)
Contact Metric Manifolds and Submersions (2017) (0)
Submanifolds of warped product manifolds $I\times_f S^{m-1}(k)$}} from a $p$-harmonic viewpoint (2013) (0)
Riemannian submersions, δ-invariants, and optimal inequality (2012) (0)
Errata: On an Inequality of T. J. Willmore (1971) (0)
Warped Products in Nearly Kähler Manifolds (2017) (0)
Solution of the system of nonlinear PDEs characterizing CES property under quasi-homogeneity conditions (2021) (0)
δ-invariants, Inequalities and Ideal Immersions (2011) (0)
Study of weakly Ricci-symmetric spacetimes under gray’s decomposition and f (R,T)-gravity (2022) (0)
More on Convolution of Riemannian Manifolds Dedicated to Professor T. Otsuki on his eighty-fifth birthday (2003) (0)
λ-biharmonic and Null 2-type Submanifolds (2014) (0)
g-Steiner, co-Steiner and normal points of bounded Euclidean submanifolds (2020) (0)
Open problems and conjectures on submanifolds of finite type revisited (2013) (0)
SUMANIFOLDS OF EUCLIDEAN SPACES SATISFYING 6-H = AH (2021) (0)
Book review (1986) (0)
Existence and uniqueness theorems for pointwise slant immersions in complex space forms (2020) (0)
Correction to: Geometry of Warped Product CR-submanifolds in Kaehler Manifolds (2017) (0)
p-HARMONIC MORPHISMS, COHOMOLOGY CLASSES (2009) (0)
Differential geometry of SO(n+2)/SO(2)×SO(n), II (1978) (0)
Additional Topics in Finite Type Theory (2014) (0)
MINIMAL SUBMANIFOLDS OF A EUCLIDEAN HYPERSPHERE (1971) (0)
Kähler and Pseudo-Kähler Manifolds (2017) (0)
Classification of Graph Surfaces Induced by Weighted-Homogeneous Functions Exhibiting Vanishing Gaussian Curvature (2022) (0)
$n$-Harmonicity, Minimality, Conformality and Cohomology (2023) (0)
CR-warped Products in Complex Space Forms (2017) (0)
plex space forms which are Riemannian products of Riemannian manifolds. (2002) (0)
On a Conjecture on CR-submanifolds (1989) (0)
Chapter 2 CR-Submanifolds and δ-Invariants (2019) (0)
SOMEOPEN PROBLEMS AND CONJECTURES ON SUBMANIFOLDS OF FINITE TYPE : RECENTDEVELOPMENT BANG (2014) (0)
MINIMAL SURFACES WITH CONSTANT (2010) (0)
Warped Products and Twisted Products (2011) (0)

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