#820

Most Influential Person

Chinese-American mathematician and poet

According to Wikipedia, Shiing-Shen Chern was a Chinese-American mathematician and poet. He made fundamental contributions to differential geometry and topology. He has been called the "father of modern differential geometry" and is widely regarded as a leader in geometry and one of the greatest mathematicians of the twentieth century, winning numerous awards and recognition including the Wolf Prize and the inaugural Shaw Prize. In memory of Shiing-Shen Chern, the International Mathematical Union established the Chern Medal in 2010 to recognize "an individual whose accomplishments warrant the highest level of recognition for outstanding achievements in the field of mathematics".

- An Introduction to Riemann-Finsler Geometry (2000) (1632)
- Characteristic forms and geometric invariants (1974) (832)
- Real hypersurfaces in complex manifolds (1974) (634)
- Differential Geometry: Cartan's Generalization of Klein's Erlangen Program (2000) (561)
- Minimal Submanifolds of a Sphere with Second Fundamental Form of Constant Length (1970) (545)
- Minimal Submanifolds of a Sphere with Second Fundamental Form of Constant Length (1970) (545)
- Exterior Differential Systems (1990) (521)
- Riemann-Finsler geometry (2005) (465)
- The Theory Of Lie Derivatives And Its Applications (1959) (429)
- Complex manifolds without potential theory (1979) (407)
- A simple instrinsic proof of the Gauss Bonnet formula for closed Riemannian manifolds (1944) (372)
- On the Total Curvature of Immersed Manifolds (1957) (293)
- Hermitian vector bundles and the equidistribution of the zeroes of their holomorphic sections (1965) (276)
- Characteristic Classes of Hermitian Manifolds (1946) (235)
- Lectures On Differential Geometry (1981) (209)
- Some Theorems on the Isometric Imbedding of Compact Riemann Manifolds in Euclidean Space (1952) (174)
- Minimal surfaces by moving frames (1983) (174)
- On Finsler geometry (1992) (171)
- An elementary proof of the existence of isothermal parameters on a surface (1955) (171)
- Pseudospherical surfaces and evolution equations (1986) (165)
- Complete minimal surfaces in Euclideann-space (1967) (161)
- On the Curvatura Integra in a Riemannian Manifold (1945) (160)
- Differentiable Manifolds: Forms, Currents, Harmonic Forms (1984) (153)
- The geometry of $G$-structures (1966) (147)
- Minimal submanifolds in a Riemannian manifold (1968) (143)
- Finsler Geometry Is Just Riemannian Geometry without the Quadratic Restriction (1997) (126)
- Harmonic maps of the two-sphere into a complex Grassmann manifold II* (1987) (125)
- On the index of a fibered manifold (1957) (125)
- Some cohomology classes in principal fiber bundles and their application to riemannian geometry. (1971) (123)
- On Curvature and Characteristic Classes of a Riemann Manifold (1955) (119)
- On riemannian metrics adapted to three-dimensional contact manifolds (1985) (114)
- On the total curvature of immersed manifolds. II. (1958) (99)
- ON A NOTABLE CONNECTION IN FINSLER GEOMETRY (1996) (99)
- On the curvatures of a piece of hypersurface in euclidean space (1965) (96)
- An analogue of Bäcklund's theorem in affine geometry (1980) (91)
- Intrinsic norms on a complex manifold (1996) (88)
- On the Kinematic Formula in Integral Geometry (1966) (74)
- Minimal Surfaces in an Euclidean Space of N Dimensions (1965) (73)
- Review: Luis A. Santaló, Integral geometry and geometric probability (1977) (70)
- On the Multiplication in the Characteristic Ring of a Sphere Bundle (1948) (69)
- Deformation of Surfaces Preserving Principal Curvatures (1985) (69)
- Abel's Theorem and Webs. (1978) (68)
- Some new characterizations of the Euclidean sphere (1945) (66)
- Curves and surfaces in Euclidean space (1967) (63)
- On the Volume Decreasing Property of a Class of Real Harmonic Mappings (1975) (63)
- A theorem on orientable surfaces in four-dimensional space (1951) (58)
- A note on the Gauss-Bonnet theorem for Finsler spaces (1996) (56)
- Local Equivalence and Euclidean Connections in Finsler Spaces (1989) (55)
- Topics in differential geometry (1951) (55)
- Integral Formulas for Hypersurfaces in Euclidean Space and Their Applications to Uniqueness Theorems (1959) (54)
- Studies in global geometry and analysis (1968) (51)
- Lie groups and KdV equations (1979) (51)
- Dupin submanifolds in lie sphere geometry (1989) (47)
- On the Kinematic Formula in the Euclidean Space of N Dimensions (1952) (47)
- On special $W$-surfaces (1955) (45)
- What is geometry (1990) (45)
- COMPLEX ANALYTIC MAPPINGS OF RIEMANN SURFACES I. (1960) (45)
- Élie Cartan and his mathematical work (1952) (42)
- Tautness and Lie sphere geometry (1987) (41)
- On the projective structure of a real hypersurface in C... (1975) (41)
- On a Generalization of Kähler Geometry (1957) (40)
- Eine Invariantentheorie der Dreigewebe aus r- dimensionalen Mannigfaltigkeiten imR2r (1935) (40)
- The Integrated form of the First Main Theorem for Complex Analytic Mappings in Several Complex Variables (1960) (37)
- Foliations on a surface of constant curvature and the modified Korteweg-de Vries equations (1981) (37)
- On surfaces of constant mean curvature in a three-dimensional space of constant curvature (1983) (36)
- Einstein hypersurfaces in a Kählerian manifold of constant holomorphic curvature (1967) (35)
- On the Characteristic Classes of Complex Sphere Bundles and Algebraic Varieties (1953) (33)
- ON THE RIEMANN MAPPING THEOREM (1996) (29)
- BRACKETS, FORMS AND INVARIANT FUNCTIONALS (2005) (28)
- CURVATURE AND GLOBAL RIGIDITY IN FINSLER MANIFOLDS (2002) (28)
- Complex Manifolds without Potential Theory: with an appendix on the geometry of characteristic classes (1995) (28)
- Surface Theory with Darboux and Bianchi (1991) (27)
- Lecture note on differential geometry (1951) (26)
- An inequality for the rank of a web and webs of maximum rank (1978) (26)
- Riemannian geometry in an orthogonal frame : from lectures delivered by Élie Cartan at th Sorbonne in 1926-27 (2001) (26)
- Tight and Taut Submanifolds (2011) (25)
- Geometrical interpretation of the sinh-Gordon equation (1981) (24)
- Seminar on nonlinear partial differential equations (1984) (24)
- On the projective structure of a real hypersurface in $\mathsf{C}_{n+1}$. (1975) (24)
- Contemporary Trends in Algebraic Geometry and Algebraic Topology (2002) (22)
- Abzählungen für Gewebe (1935) (22)
- Global differential geometry (1991) (22)
- From Triangles to Manifolds (1979) (21)
- The Homology Structure of Sphere Bundles. (1950) (20)
- Projective geometry and Riemann's mapping problem (1995) (20)
- Differential Geometry of Fiber Bundles (1989) (19)
- Some new viewpoints in differential geometry in the large (1946) (19)
- Linear Differential Systems (1991) (18)
- A Proof of the Uniqueness of Minkowski's Problem for Convex Surfaces (1957) (15)
- Remarks on the Riemannian metric of a minimal submanifold (1981) (15)
- Selected Papers II (1989) (15)
- Vector Bundles with a Connection (1989) (13)
- Harmonic maps of S into a complex Grassmann manifold. (1985) (13)
- Exterior Differential Calculus (1999) (12)
- S. S. Chern : a great geometer of the twentieth century (1992) (11)
- On the isometry of compact submanifolds in euclidean space (1963) (11)
- Laplace Transforms of a Class of Higher Dimensional Varieties in a Projective Space of n Dimensions. (1944) (11)
- Finsler Geometry: Joint Summer Research Conference on Finsler Geometry, July 16-20, 1995, Seattle, Washington (1996) (10)
- Some Formulas Related to Complex Transgression (1970) (10)
- Geometry of a Quadratic Differential Form (1962) (10)
- Differential Geometry in Symplectic Space I (1989) (9)
- On the Characteristic Classes of Riemannian Manifolds. (1947) (8)
- DIFFERENTIAL GEOMETRY ; ITS PAST AND ITS FUTURE by (2010) (8)
- AN INTRODUCTION TO DUPIN SUBMANIFOLDS (1996) (8)
- Integral Formulas for the Characteristic Classes of Sphere Bundles. (1944) (8)
- On A Conformal Invariant of Three-Dimensional Manifolds (1986) (8)
- Lectures on integral geometry (1965) (7)
- Differential Geometry and Integral Geometry (1989) (7)
- Review: Jerry L. Kazdan, Prescribing the curvature of a Riemannian manifold (1987) (7)
- The imbedding theorem for fibre bundles (1949) (7)
- A Uniqueness Theorem on Closed Convex Hypersurfaces in Euclidean Space (1960) (6)
- A Simple Proof of Frobenius Theorem (1981) (6)
- My Mathematical Education (1996) (6)
- Projectively Flat Finsler Metrics (2005) (5)
- Scientific report on the second summer institute, several complex variables. Part II. Complex manifolds (1956) (5)
- from the Generalized Schur Algorithm (1994) (5)
- On Riemannian manifolds of four dimensions (1945) (5)
- Erratum to: Real hypersurfaces in complex manifolds (1983) (5)
- Linearizing Flows and a Cohomology Interpretation of Lax Equations (1984) (5)
- A Summary of My Scientific Life and Works (1996) (4)
- Projective geometry, contact transformations, andCR-structures (1982) (4)
- The Geometry of Isotropic Surfaces (1942) (4)
- The mathematical works of Wilhelm Blaschke (1973) (4)
- Differential Geometry, Part 2 (1975) (4)
- The collected papers of Wei-Liang Chow (2002) (3)
- TRANSGRESSION IN ASSOCIATED BUNDLES (1991) (3)
- Wolf prize in mathematics (2000) (3)
- Duality properties of characteristic forms (1976) (3)
- Note on affinely connected manifolds (1947) (2)
- Relations between Riemannian and Hermitian geometries (1953) (2)
- Shiing-Shen Chern : a great mathematician of the twentieth century (2006) (2)
- Remarks on hibert’s 23rd problem (1996) (2)
- Holomorphic Vector Bundles and Line Bundles (1979) (2)
- Finsler Metrics of Scalar Flag Curvature (2005) (2)
- Physics And Mathematics of Anyons: Proceedings of the TCSUH Worshop (1991) (2)
- Associate Quadratic Complexes of a Rectilinear Congruence (1989) (2)
- New developments in the theory of geometric partial differential equations (1986) (2)
- Yang-Mills Equations and Yang-Baxter Equation (1996) (2)
- Differentiable manifolds : 354a notes (1953) (2)
- Sophus Lie and diffferential geometry (1996) (1)
- The Grassmann Manifold (1979) (1)
- Sheaves and Cohomology (1979) (1)
- Proceedings of the thirteenth biennial seminar of the Canadian Mathematical Congress on Differential topology ; Differential geometry and applications (1972) (1)
- WEI-LIANG CHOW, 1911–1995 (2002) (1)
- Selected Papers IV (1989) (1)
- The Chern Connection (2000) (1)
- Proceedings of the 1980 Beijing Symposium on Differential Geometry and Differential Equations = [1980 nien "shuang wei" Pei-ching tʿao lun hui wen chi] (1982) (1)
- General Relativity and Differential Geometry (1980) (1)
- Mark Grigor'evich Krein (1990) (1)
- Joseph B. Keller (2000) (1)
- Applications of Commutative Algebra and Algebraic Geometry to the Study of Exterior Differential Systems (1991) (1)
- Lars Valerian Ahlfors (2000) (1)
- SHIING-SHEN CHERN: 1911–2004 (2008) (1)
- S. S. Chern and Chern-Simons Terms ∗ (2005) (1)
- Parallelisability of principal fibre bundles (1949) (1)
- Pairs of Plane Curves with Points in One-to-One Correspondence (1989) (1)
- Curvature and Schur’s Lemma (2000) (0)
- D ec 2 00 4 Variations on Prequantization by Alan Weinstein (2008) (0)
- Characteristic Classes and Characteristic Forms (1991) (0)
- There was a total registration of 256 , including the following 206 members of the Society : (2007) (0)
- EQUIVARIANT MINIMAL IMMERSIONS OFS 2 INTO S 2 m ( l ) (2010) (0)
- The Gauss Lemma and the Hopf-Rinow Theorem (2000) (0)
- Physics and mathematics of anyons : proceedings of the TCSUH Workshop, Houston, Texas, USA, 1-2 February 1991 (1991) (0)
- The Cut and Conjugate Loci, and Synge’s Theorem (2000) (0)
- Introduction and Examples (1979) (0)
- Differential Geometry, Part 1 (1975) (0)
- I Results in Mathematics Isospectrality for Spherical Space Forms (2013) (0)
- Wei-Liang Chow (1997) (0)
- Harmonic maps of S2 into a complex Grassmann manifold: (harmonic sequences/Frenet harmonic sequences/fundamental collineations/harmonic flags/”crossing“ and ”turning“ constructions) (1989) (0)
- Yakov G. Sinai (2001) (0)
- Wolf Prize in Mathematics: Volume 2 (2001) (0)
- John W. Milnor (2001) (0)
- Cartan-Kähler Theory (1991) (0)
- Andrei N. Kolmogorov (2001) (0)
- Extrinsic global differential geometry (1962) (0)
- CHARACTERISTIC CLASSES AS A GEOMETRIC OBJECT (1996) (0)
- Shiing-Shen Chern file (1989) (0)
- 53–03 Historical (must Also Be Assigned at Least One Classification Number from Section 01) (0)
- Book Review: Elie Cartan} (1869--1951) (1994) (0)
- Kentaro Yano–My Old Friend (1982) (0)
- D G ] 3 0 Ju l 2 00 5 η-invariant and flat vector bundles (2008) (0)
- Note on Projective Differential Line Geometry (1989) (0)
- Tight and taut submanifolds : papers in memory of Nicolaas H. Kuiper (1997) (0)
- Peter D. Lax (2001) (0)
- Lie Groups and Moving Frames (1999) (0)
- On the Bäcklund Transformations of KDV Equations and Modified KDV Equations (1989) (0)
- Finsler Manifolds and the Fundamentals of Minkowski Norms (2000) (0)
- Differential geometry : [proceedings of the Symposium in Pure Mathematics of the American Mathematical Society, held at Stanford University, Stanford, California, July 30-August 17, 1973 (1975) (0)
- On Projective Normal Coordinates (1938) (0)
- The Characteristic Variety (1991) (0)
- On a Weyl Geometry Defined from an (n - 1) Parameter Family of Hypersurfaces in a Space of n Dimensions (1989) (0)
- Berwald Spaces and Szabó’s Theorem for Berwald Surfaces (2000) (0)
- Riemannian Manifolds and Two of Hopf’s Theorems (2000) (0)
- INTEGRAL FORAIULAS FOR THE CIIARACTERISTIC CLASSES OF SPIIERE B UNDLES (2005) (0)
- Families of Hypersurfaces Under Contact Transformations in Rn (1996) (0)
- Randers Spaces and an Elegant Theorem (2000) (0)
- Complex and Hermitian Structures on a Vector Space (1979) (0)
- Constant Flag Curvature Spaces and Akbar-Zadeh’s Theorem (2000) (0)
- Finsler Surfaces and a Generalized Gauss-Bonnet Theorem (2000) (0)
- On Two Affine Connections (1989) (0)
- Open Discussion: E. Amaldi, Chairman (1980) (0)
- Almost Complex Manifolds; Integrability Conditions (1979) (0)
- Linear Differential Operators (1991) (0)
- Complex Vector Bundles; Connections (1979) (0)
- Variations on Prequantization by Alan Weinstein and Marco Zambon (2005) (0)
- Minkowski Spaces, the Theorems of Deicke and Brickell (2000) (0)
- Hermitian Geometry and Kählerian Geometry (1979) (0)
- Curves in a Grassmann Manifold (1979) (0)
- ON THE CONNECTION IN FINSLER SPACE (2002) (0)
- Ilya Piatetski-Shapiro (2001) (0)
- The Cartan—Hadamard Theorem and Rauch’s First Theorem (2000) (0)
- The Life and Mathematics of Shiing-Shen Chern (2006) (0)
- Pao-Lu Hsu (Xu, Bao-lu): The Grandparent of Probability and Statistics in China (2012) (0)
- Proceedings of the 1982 Changchun Symposium on Differential Geometry and Differential Equations = 1982年"双微"長春討論会文集 (1986) (0)
- Review: L. A. Santaló, Introduction to integral geometry (1955) (0)
- Variations of Arc Length, Jacobi Fields, the Effect of Curvature (2000) (0)
- Correction to my paper “Note on affinely connected manifolds” (1948) (0)
- Elias M. Stein (2001) (0)
- The Index Form and the Bonnet—Myers Theorem (2000) (0)
- Wolf Prize in Mathematics: Volume 1 (2000) (0)
- GAUGE THEORY AT TSINGHUA (2002) (0)
- Andrew J. Wiles (2001) (0)
- DIFFERENTIABLE MANIFOLDS DIFFERENTIAL GEOMETRY OF FIBER BUNDLES (2010) (0)
- Partial differential equations : proceedings of a symposium held in Tianjin, June 23-July 5, 1986 (1988) (0)
- list of Chauvenet Prize winners (2013) (0)
- Proceedings of the 1983 Beijing Symposium on Differential Geometry and Differential Equations = 1983年"双微"北京討論会文集 (1986) (0)
- Jürgen K. Moser (2001) (0)
- Review: F. Hirzebruch, Neue topologische Methoden in der algebraischen Geometrie (1958) (0)
- A Tribute to Herrn Erich Kähler (2003) (0)
- Shiing-Shen Chern (2000) (0)
- Topologische Fragen der Differentialgeometrie 60 (1996) (0)
- Geschichte des mannigfaltigkeitsbegriffs von riemann bis poincaré: By Erhard Scholz. Boston (Birkhauser). 1980. 430 pp (1984) (0)

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