#20,507

Most Influential Person

Japanese mathematician

According to Wikipedia, was a Japanese mathematician. He was the eldest brother of electrical engineer and computer scientist Hisashi Kobayashi. His research interests were in Riemannian and complex manifolds, transformation groups of geometric structures, and Lie algebras.

- Foundations of Differential Geometry (6330)
- Transformation groups in differential geometry (905)
- Hyperbolic manifolds and holomorphic mappings (674)
- Foundations of Differential Geometry, Volume I. (501)
- Hyperbolic complex spaces (422)
- Characterizations of complex projective spaces and hyperquadrics (302)
- Intrinsic distances, measures and geometric function theory (210)
- Geometry of bounded domains (204)
- Holomorphic bisectional curvature (152)
- Meromorphic mappings onto compact complex spaces of general type (132)
- Negative vector bundles and complex Finsler structures (129)
- Principal fibre bundles with the $1$-dimensional toroidal group (126)
- Fixed points of isometries (121)
- Curvature and stability of vector bundles (108)
- On Compact Kahler Manifolds with Positive Definite Ricci Tensor (106)
- Holomorphic projective structures on compact complex surfaces (91)
- TOPOLOGY OF POSITIVELY PINCHED KAEHLER MANIFOLDS (89)
- Minimal imbeddings of $R$-spaces (86)
- Prolongations of tensor fields and connections to tangent bundles III (74)
- Remarks on complex contact manifolds (72)
- Prolongations of tensor fields and connections to tangent bundles I -- General theory -- (62)
- First Chern class and holomorphic tensor fields (61)
- Mappings into compact complex manifolds with negative first Chern class (59)
- On complex manifolds with positive tangent bundles (53)
- On holomorphic sections of certain hermitian vector bundles (49)
- On connections of Cartan (45)
- Isometric imbeddings of compact symmetric spaces (45)
- Hyperbolic Manifolds and Holomorphic Mappings: An Introduction (43)
- Submersions of CR submanifolds (40)
- Homogeneous Riemannian manifolds of negative curvature (38)
- The first Chern class and holomorphic symmetric tensor fields (36)
- Holomorphic structures modeled after hyperquadrics (35)
- Holomorphic mappings into projective space with lacunary hyperplanes (34)
- Intrinsic metrics on complex manifolds (32)
- Canonical forms on frame bundles of higher order contact (32)
- A theorem on the affine transformation group of a Riemannian manifold (30)
- Satake compactification and the great Picard theorem (28)
- Irreducibility of certain unitary representations (28)
- Holomorphic Structures Modeled After Compact Hermitian Symmetric Spaces (28)
- Projectively invariant distances for affine and projective structures (26)
- A NOTE ON MAPPINGS AND AUTOMORPHISMS OF ALMOST COMPLEX MANIFOLDS (26)
- Prolongations of tensor fields and connections to tangent bundles II --Infinitesimal automorphisms-- (26)
- Topics in Complex Differential Geometry (23)
- The automorphism group of a geometric structure (22)
- Complex differential geometry (22)
- Hypersurfaces of complex projective space with constant scalar curvature (20)
- On automorphisms of a Kählerian structure (20)
- Compact Kaehler manifolds with positive Ricci tensor (19)
- Compact homogeneous hypersurfaces (19)
- A fibering of a class of homogeneous complex manifolds (17)
- Satake compacitification and extension of holomorphic mappings (17)
- Homogeneous vector bundles and stability (16)
- IMBEDDINGS OF HOMOGENEOUS SPACES WITH MINIMUM TOTAL CURVATURE (16)
- Holomorphic projective structures on compact complex surfaces. II (16)
- The Chern Symposium 1979 (16)
- Almost Complex Manifolds and Hyperbolicity (16)
- Distance, holomorphic mappings and the Schwarz lemma (14)
- On the automorphism group of a certain class of algebraic manifolds (14)
- Manifolds over function algebras and mapping spaces (13)
- A NEW INVARIANT INFINITESIMAL METRIC (13)
- On complete Bergman metrics (12)
- The Conformal Transformation Group of a Compact Riemannian Manifold (11)
- $G$-structures of order two and transgression operators (11)
- On a fundamental theorem of Weyl-Cartan on $G$ -structures (11)
- Three-dimensional compact Kähler manifolds with positive holomorphic bisectional curvature (11)
- Simple vector bundles over symplectic Kähler manifolds (10)
- On automorphism groups of homogeneous complex manifolds (10)
- The conformal transformation group of a compact homogeneous Riemannian manifold (10)
- On instability of Yang-Mills connections (9)
- Riemannian manifolds without conjugate points (9)
- Projective invariant metrics for Einstein spaces (8)
- Homogeneous Riemannian manifolds of negative curvature (7)
- Some remarks and questions concerning the intrinsic distance (6)
- Comments on Satake compactification and the great Picard theorem (6)
- COMPLEX MANIFOLDS WITH NONPOSITIVE HOLOMORPHIC SECTIONAL CURVATURE AND HYPERBOLICITY (6)
- Holonomy groups of hypersurfaces (5)
- A theorem on filtered Lie algebras and its applications (5)
- On moduli of vector bundles (3)
- Holomorphic Maps into Hyperbolic Spaces (2)
- Conjugate Connections and Moduli Spaces of Connections (2)
- Review: R. C. Gunning, On uniformization of complex manifolds: The role of connections (1)
- Automorphisms of G-Structures (1)
- Canonical connections and Pontrjagin classes (1)
- Differential Geometry in Japan in the 1940s and '50s (1)
- Relative Intrinsic Distance and Hyperbolic Imbedding(HOLOMORPHIC MAPPINGS, DIOPHANTINE GEOMETRY and RELATED TOPICS : in Honor of Professor Shoshichi Kobayashi on his 60th Birthday) (1)
- ON CHARACTERISTIC CLASSES DEFINED BY CONNECTIONS (1)
- On Automorphisms of Spaces of Nonpositive Curvature with Finite Volume (1)
- On two Concepts of Stability for Vector Bundles and Sheaves (1)
- Isometries of Riemannian Manifolds (1)
- The Gauss-Bonnet Theorem (0)
- Chapter I. Connections in Vector Bundles (0)
- Almost Complex Manifolds and a Differential Geometric Criterion for Hyperbolicity (0)
- The Big Picard Theorem and Extension of Holomorphic Mappings (0)
- Volume Elements and the Schwarz Lemma (0)
- Recent Results in Hyperbolic Geometry and Diophantine Geometry(HOLOMORPHIC MAPPINGS, DIOPHANTINE GEOMETRY and RELATED TOPICS : in Honor of Professor (0)
- Local Theory of Surfaces in the Space (0)
- Affine, Conformal and Projective Transformations (0)
- Chapter VI. Existence of approximate Einstein-Hermitian structures (0)
- Chapter IV Einstein-Hermitian vector bundles (0)
- The Chern Symposium 1979 : proceedings of the International Symposium on Differential Geometry in honor of S.-S. Chern, held in Berkeley, California, June 1979 (0)
- Theorem of Busemann-Mayer on Finsler metrics (0)
- Manifolds of General Type (0)
- Invariant Distances on Complex Manifolds (0)
- Differential Geometry of Curves and Surfaces (0)
- Generalization to Complex Spaces (0)
- Intrinsic Distances for Domains (0)
- Chapter V. Stable vector bundles (0)
- The Schwarz Lemma and Its Generalizations (0)
- Chapter II. Chern Classes (0)
- Title Some Problems in Value Distribution and Hyperbolic Manifolds : Dedicated to Professor S. Kobayashi(HOLOMORPHIC MAPPINGS, DIOPHANTINE GEOMETRY and RELATED TOPICS : in Honor of Professor (0)
- Holomorphic Projective Structures and Invariant Distances (0)
- Minimal Surfaces (0)
- Correction to: Differential Geometry of Curves and Surfaces (0)
- Title Rigidity Theorems on Spheres and Complex Projective Spaces(HOLOMORPHIC MAPPINGS, DIOPHANTINE GEOMETRY and RELATED TOPICS : in Honor of Professor (0)
- Two Essays from "Mathematicians Who Lost Their Faces" (0)
- Geometry of Surfaces (0)
- Extension and Finiteness Theorems (0)
- Schwarz Lemma and Negative Curvature (0)
- On holomorphic connections (0)
- Distance and the Schwarz Lemma (0)
- Chapter III. Vanishing Theorems (0)
- A FIBERING OF A CLASS OF HOMOGENEOUS (0)
- Hyperbolic Manifolds and Minimal Models (0)
- Plane Curves and Space Curves (0)
- Title From Subvarieties Of Abelian Varieties To Kobayashi Hyperbolic Manifolds : After P. Vojta and G. Faltings(HOLOMORPHIC MAPPINGS, DIOPHANTINE GEOMETRY and RELATED TOPICS : in Honor of Professor (0)
- Automorphisms of Complex Manifolds (0)
- Chapter VII. Moduli spaces of vector bundles (0)
- Holomorphic Mappings into Hyperbolic Manifolds (0)
- The mathematical work of Y. Matsushima and its development (0)
- Title ON MORDELL-WEIL GROUPS OF ABELIAN SCHEMES(HOLOMORPHIC MAPPINGS, DIOPHANTINE GEOMETRY and RELATED TOPICS : in Honor of Professor (0)

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