Shoshichi Kobayashi | Academic Influence

Shoshichi Kobayashi's AcademicInfluence.com Rankings

Shoshichi Kobayashi

Mathematics

#568

World Rank

#1079

Historical Rank

Differential Geometry

#14

World Rank

#20

Historical Rank

Measure Theory

#432

World Rank

#620

Historical Rank

mathematics Degrees

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Mathematics

Shoshichi Kobayashi's Degrees

PhD Mathematics University of Tokyo

Why Is Shoshichi Kobayashi Influential?

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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.

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Shoshichi Kobayashi'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

Foundations of Differential Geometry (1963) (5541)
Differential geometry of complex vector bundles (1987) (1198)
Transformation groups in differential geometry (1972) (682)
Hyperbolic manifolds and holomorphic mappings (1970) (659)
Foundations of Differential Geometry, Volume I. (1965) (596)
Characterizations of complex projective spaces and hyperquadrics (1973) (340)
Hyperbolic complex spaces (1998) (308)
Geometry of bounded domains (1959) (231)
Intrinsic distances, measures and geometric function theory (1976) (216)
Holomorphic bisectional curvature (1967) (171)
Meromorphic mappings onto compact complex spaces of general type (1975) (150)
Negative Vector Bundles and Complex Finsler Structures (1975) (147)
Principal fibre bundles with the $1$-dimensional toroidal group (1956) (144)
Fixed Points of Isometries (1958) (137)
Curvature and stability of vector bundles (1982) (136)
On Compact Kahler Manifolds with Positive Definite Ricci Tensor (1961) (119)
TOPOLOGY OF POSITIVELY PINCHED KAEHLER MANIFOLDS (1963) (103)
Holomorphic projective structures on compact complex surfaces (1980) (100)
Minimal imbeddings of $R$-spaces (1968) (92)
Remarks on complex contact manifolds (1959) (85)
Prolongations of tensor fields and connections to tangent bundles I -- General theory -- (1966) (83)
First Chern class and holomorphic tensor fields (1980) (75)
Prolongations of tensor fields and connections to tangent bundles III (1967) (73)
Mappings into compact complex manifolds with negative first Chern class (1971) (63)
On holomorphic sections of certain hermitian vector bundles (1970) (62)
On complex manifolds with positive tangent bundles (1970) (58)
Isometric imbeddings of compact symmetric spaces (1968) (53)
Prolongations of tensor fields and connections to tangent bundles II --Infinitesimal automorphisms-- (1966) (51)
On Connections Of Cartan (1956) (48)
The first Chern class and holomorphic symmetric tensor fields (1980) (47)
Homogeneous Riemannian manifolds of negative curvature (1962) (46)
Canonical forms on frame bundles of higher order contact (1961) (45)
A Theorem on the Affine Transformation Group of a Riemannian Manifold (1955) (41)
Submersions of CR submanifolds (1987) (40)
Holomorphic structures modeled after hyperquadrics (1982) (38)
Intrinsic metrics on complex manifolds (1967) (37)
Holomorphic Mappings into Projective Space with Lacunary Hyperplanes (1973) (35)
Hyperbolic Manifolds and Holomorphic Mappings: An Introduction (2005) (35)
Projectively invariant distances for affine and projective structures (1984) (33)
Irreducibility of certain unitary representations (1968) (32)
Holomorphic Structures Modeled After Compact Hermitian Symmetric Spaces (1981) (31)
A NOTE ON MAPPINGS AND AUTOMORPHISMS OF ALMOST COMPLEX MANIFOLDS (1963) (30)
Satake compactification and the great Picard theorem (1971) (29)
The automorphism group of a geometric structure (1964) (28)
Compact Kaehler manifolds with positive Ricci tensor (1961) (28)
Topics in Complex Differential Geometry (1983) (26)
Compact homogeneous hypersurfaces (1958) (21)
Holomorphic projective structures on compact complex surfaces. II (1984) (21)
Almost Complex Manifolds and Hyperbolicity (2001) (21)
Hypersurfaces of complex projective space with constant scalar curvature (1967) (21)
On Automorphisms of A Kählerian Structure (1957) (20)
A fibering of a class of homogeneous complex manifolds (1960) (20)
IMBEDDINGS OF HOMOGENEOUS SPACES WITH MINIMUM TOTAL CURVATURE (1967) (19)
Homogeneous vector bundles and stability (1986) (18)
The Chern Symposium 1979 (1980) (18)
Complex differential geometry (1983) (18)
Satake compacitification and extension of holomorphic mappings (1972) (17)
Distance, holomorphic mappings and the Schwarz lemma (1967) (17)
Manifolds over function algebras and mapping spaces (1989) (15)
On a fundamental theorem of Weyl-Cartan on $G$ -structures (1965) (15)
On instability of Yang-Mills connections (1986) (15)
On complete Bergman metrics (1962) (14)
On the automorphism group of a certain class of algebraic manifolds (1959) (14)
Simple vector bundles over symplectic Kähler manifolds (1986) (14)
Three-dimensional compact Kähler manifolds with positive holomorphic bisectional curvature (1972) (13)
A NEW INVARIANT INFINITESIMAL METRIC (1990) (13)
The conformal transformation group of a compact homogeneous Riemannian manifold (1962) (12)
On automorphism groups of homogeneous complex manifolds (1961) (11)
$G$-structures of order two and transgression operators (1971) (11)
Riemannian manifolds without conjugate points (1961) (10)
COMPLEX MANIFOLDS WITH NONPOSITIVE HOLOMORPHIC SECTIONAL CURVATURE AND HYPERBOLICITY (1978) (9)
Projective invariant metrics for Einstein spaces (1979) (8)
A theorem on filtered Lie algebras and its applications (1964) (7)
Holonomy Groups Of Hypersurfaces (1956) (6)
Some remarks and questions concerning the intrinsic distance (1973) (6)
Comments on Satake compactification and the great Picard theorem (1976) (6)
On moduli of vector bundles (1990) (3)
On Automorphisms of Spaces of Nonpositive Curvature with Finite Volume (1976) (2)
Relative Intrinsic Distance and Hyperbolic Imbedding(HOLOMORPHIC MAPPINGS, DIOPHANTINE GEOMETRY and RELATED TOPICS : in Honor of Professor Shoshichi Kobayashi on his 60th Birthday) (1993) (2)
Conjugate Connections and Moduli Spaces of Connections (1997) (2)
Review: R. C. Gunning, On uniformization of complex manifolds: The role of connections (1980) (1)
Differential Geometry in Japan in the 1940s and '50s (1996) (1)
On two Concepts of Stability for Vector Bundles and Sheaves (1986) (1)
Canonical Connections and Pontrjagin Classes (1957) (1)
Differential Geometry of Curves and Surfaces (2019) (1)
Isometries of Riemannian Manifolds (1995) (1)
Automorphisms of G-Structures (1995) (1)
ON CHARACTERISTIC CLASSES DEFINED BY CONNECTIONS (1961) (1)
Holomorphic Maps into Hyperbolic Spaces (1998) (1)
Holomorphic Mappings into Hyperbolic Manifolds (2005) (0)
Title Rigidity Theorems on Spheres and Complex Projective Spaces(HOLOMORPHIC MAPPINGS, DIOPHANTINE GEOMETRY and RELATED TOPICS : in Honor of Professor (2018) (0)
Chapter II. Chern Classes (1987) (0)
Schwarz Lemma and Negative Curvature (1998) (0)
Title ON MORDELL-WEIL GROUPS OF ABELIAN SCHEMES(HOLOMORPHIC MAPPINGS, DIOPHANTINE GEOMETRY and RELATED TOPICS : in Honor of Professor (2018) (0)
Generalization to Complex Spaces (2005) (0)
Local Theory of Surfaces in the Space (2019) (0)
Minimal Surfaces (2019) (0)
Automorphisms of Complex Manifolds (1995) (0)
Theorem of Busemann-Mayer on Finsler metrics (1991) (0)
A FIBERING OF A CLASS OF HOMOGENEOUS (2016) (0)
Chapter I. Connections in Vector Bundles (1987) (0)
Holomorphic Projective Structures and Invariant Distances (1984) (0)
The Big Picard Theorem and Extension of Holomorphic Mappings (2005) (0)
Invariant Distances on Complex Manifolds (2005) (0)
Chapter VII. Moduli spaces of vector bundles (1987) (0)
The Gauss-Bonnet Theorem (2019) (0)
Almost Complex Manifolds and a Differential Geometric Criterion for Hyperbolicity (2002) (0)
Intrinsic Distances for Domains (1998) (0)
in Projective Spaces(HOLOMORPHIC (2018) (0)
Hyperbolic Manifolds and Minimal Models (2005) (0)
The mathematical work of Y. Matsushima and its development (1984) (0)
Chapter V. Stable vector bundles (1987) (0)
Induced Connections and Imbedded Riemannian Spaces (1956) (0)
Geometry of Surfaces (2019) (0)
Manifolds of General Type (1998) (0)
Plane Curves and Space Curves (2019) (0)
Chapter IV Einstein-Hermitian vector bundles (1987) (0)
The Schwarz Lemma and Its Generalizations (2005) (0)
Volume Elements and the Schwarz Lemma (2005) (0)
Chapter VI. Existence of approximate Einstein-Hermitian structures (1987) (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 (1980) (0)
On holomorphic connections (1981) (0)
Recent Results in Hyperbolic Geometry and Diophantine Geometry(HOLOMORPHIC MAPPINGS, DIOPHANTINE GEOMETRY and RELATED TOPICS : in Honor of Professor (2018) (0)
Distance and the Schwarz Lemma (2005) (0)
Extension and Finiteness Theorems (1998) (0)
Correction to: Differential Geometry of Curves and Surfaces (2021) (0)
Two Essays from "Mathematicians Who Lost Their Faces" (2014) (0)
Chapter III. Vanishing Theorems (1987) (0)
Affine, Conformal and Projective Transformations (1995) (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 (2018) (0)

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