Shoshichi Kobayashi

About

From 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.

Published Works

• Transformation Groups in Differential Geometry
• Differential Geometry of Complex Vector Bundles
• Hyperbolic Complex Spaces
• Characterizations of complex projective spaces and hyperquadrics
• Geometry of bounded domains
• Intrinsic distances, measures and geometric function theory
• Principal fibre bundles with the $1$-dimensional toroidal group
• Holomorphic bisectional curvature
• Invariant distances on complex manifolds and holomorphic mappings
• Topology of positively pinched Kaehler manifolds
Curvature and stability of vector bundles
Prolongations of tensor fields and connections to tangent bundles I -- General theory --
Minimal imbeddings of $R$-spaces
Meromorphic mappings onto compact complex spaces of general type
On Compact Kahler Manifolds with Positive Definite Ricci Tensor
Holomorphic projective structures on compact complex surfaces
Isometric imbeddings of compact symmetric spaces
Hyperbolic Manifolds and Holomorphic Mappings
On complex manifolds with positive tangent bundles
Canonical forms on frame bundles of higher order contact
Remarks on complex contact manifolds
On holomorphic sections of certain hermitian vector bundles
Mappings into compact complex manifolds with negative first Chern class
Complex Finsler vector bundles
Irreducibility of certain unitary representations
The first Chern class and holomorphic symmetric tensor fields
Homogeneous Riemannian manifolds of negative curvature
Intrinsic metrics on complex manifolds
Holomorphic structures modeled after hyperquadrics
Imbeddings of homogeneous spaces with minimum total curvature
Hypersurfaces of complex projective space with constant scalar curvature
Complex Differential Geometry
Satake compactification and the great Picard theorem
The automorphism group of a geometric structure
On a fundamental theorem of Weyl-Cartan on $G$ -structures
A Note on Mappings and Automorphisms of Almost Complex Manifolds
Satake compacitification and extension of holomorphic mappings
On the automorphism group of a certain class of algebraic manifolds
Prolongations of tensor fields and connections to tangent bundles II --Infinitesimal automorphisms--
Three-dimensional compact K\"ahler manifolds with positive holomorphic bisectional curvature
Espaces à connexion de cartan complets
$G$-structures of order two and transgression operators
Holomorphic Structures Modeled After Compact Hermitian Symmetric Spaces
Holomorphic projective structures on compact complex surfaces. II
A fibering of a class of homogeneous complex manifolds
Simple vector bundles over symplectic Kähler manifolds
The conformal transformation group of a compact homogeneous Riemannian manifold
On automorphism groups of homogeneous complex manifolds
Compact homogeneous hypersurfaces
Distance, holomorphic mappings and the Schwarz lemma
On instability of Yang-Mills connections
Natural connections in almost complex manifolds
On complete Bergman metrics
A NEW INVARIANT INFINITESIMAL METRIC
Manifolds over function algebras and mapping spaces
Projectively invariant distances for affine and projective structures
Topics in Complex Differential Geometry
Prolongations of tensor fields and connections to tangent bundles III
Volume elements, holomorphic mappings and Schwarz’s lemma
A theorem on filtered Lie algebras and its applications
The Conformal Transformation Group of a Compact Riemannian Manifold
Some remarks and questions concerning the intrinsic distance
Comments on Satake compactification and the great Picard theorem
Riemannian manifolds without conjugate points
Compact Kaehler manifolds with positive Ricci tensor
Homogeneous Riemannian manifolds of negative curvature
Complex manifolds with nonpositive holomorphic sectional curvature and hyperbolicity
On characteristic classes defined by connections
Une remarque sur la connexion affine symétrique
Automorphisms of G-Structures
Holomorphic Maps into Hyperbolic Spaces
On two Concepts of Stability for Vector Bundles and Sheaves
Submersions of {CR} submanifolds
Des groupes linéaires irréductibles et la géomérie différentielle
Conjugate Connections and Moduli Spaces of Connections
Holomorphic Projective Structures and Invariant Distances
Isometries of Riemannian Manifolds
Automorphisms of Complex Manifolds
Affine, Conformal and Projective Transformations
Distance Geometry
Schwarz Lemma and Negative Curvature
Intrinsic Distances
Intrinsic Distances for Domains
Extension and Finiteness Theorems
Manifolds of General Type
Value Distributions
On Automorphisms of Spaces of Nonpositive Curvature with Finite Volume
On holomorphic connections
On moduli of vector bundles
Prolongations of tensor fields and connections to tangent bundles I – General theory –
Book Review: On uniformization of complex manifolds: The role of connections
Almost Complex Manifolds and a Differential Geometric Criterion for Hyperbolicity
The mathematical work of Y. Matsushima and its development
Theorem of Busemann-Mayer on Finsler metrics
Foundations of Differential Geometry, Volume I.
Hyperbolic Manifolds and Holomorphic Mappings.
Problems related to hyperbolicity of almost complex structures
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Other Resources

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Schools

University of California, Berkeley

Public research university in Berkeley, California, United States

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University of Tokyo

National research university in Tokyo, Japan

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University of British Columbia

Public research university in British Columbia, Canada

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University of Washington

Public research university in Seattle, Washington, United States

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