# Bang-Yen Chen

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Taiwanese-American mathematician

## Bang-Yen Chen's AcademicInfluence.com Rankings

Bang-Yen Chenmathematics Degrees

Mathematics

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Algebraic Geometry

#79

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#84

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Measure Theory

#322

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#488

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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?

(Suggest an Edit or Addition)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.

## Bang-Yen Chen's Published Works

### 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)
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