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《微分幾何中的變換群(英文版)》內容包括：G-Structures、Examples of G-Structures、 Two Theorems on Differentiable Transformation Groups.、Automorphisms of Compact Elliptic Structures、 Prolongations of G-Structures、 Volume Elements and Symplectic Structures、Contact Structures……

Biography of Shoshichi Kobayashi

Shoshichi Kobayashi was born January 4, 1932 in Kofu, Japan. After obtaining his mathematics degree from the University of Tokyo and his Ph.D. from the University of Washington, Seattle, he held positions at the Institute for Advanced Study, Princeton, at MIT and at the University of British Columbia between 1956 and 1962, and then moved to the University of California, Berkeley, where he is now Professor in the Graduate School.

Kobayashi's research spans the areas of differential geometry of real and complex variables, and his numerous resulting publications include several book: Foundations of Differential Geometry with N. Nomizu, Hyperbolic Complex Manifolds and Holomorphic mappings and Differential Geometry of Complex Vector Bundles.

Ⅰ.Automorphisms of G-Structures 1.G-Structures 2.Examples of G-Structures 3.Two Theorems on Differentiable Transformation Groups 4.Automorphisms of Compact Elliptic Structures 5.Prolongations of G-Structures 6.Volume Elements and Sympleetic Structures 7.Contact Structures 8.Pseudogroup Structures, G-Structures and Filtered Lie AlgebrasⅡ.Isometries of Riemannian Manifolds 1.The Group of Isometries of a Riemannian Manifold 2.Infinitesimal Isometrics and Infinitesimal Affine Transformations 3.Riemannian Manifolds with Large Group of Isometries 4.Riemannian Manifolds with Little Isometrics 5.Fixed Points of Isometrics 6.Infinitesimal Isometrics and Characteristic NumbersⅢ.Automorphisms of Complex Manifolds I.The Group of Automorphisms of a Complex Manifold 2.Compact Complex Manifolds with Finite Automorphism Groups 3.Holomorphic Vector Fields and Holomorphic 1-Forms 4.Holomorphie Vector Fields on Kahler Manifolds 5.Compact Einstein-Kahler Manifolds 6.Compact Kahler Manifolds with Constant Scalar Curvature 7.Conformal Changes of the Laplacian 8.Compact Kahler Manifolds with Nonpositive First Chern Class 9.Projectively Induced Holomorphic Transformations 10.Zeros of Infinitesimal Isometrics 11.Zeros of Holomorphic Vector Fields 12.Holomorphic Vector Fields and Characteristic NumbersⅣ.A/fine, Conformal and Projective Transformations 1.The Group of Affine Transformations of an A/finely Connected Manifold 2.Affine Transformations of Riemannian Manifolds 3.Cartan Connections 4.Projective and Conformal Connections 5.Frames of Second Order 6.Projective and Conformal Structures 7.Projective and Conformal EquivalencesAppendices 1.Reductions of l-Forms and Closed 2-Forms 2.Some Integral Formulas 3.Laplacians in Local Coordinates 4.A Remark on dd-CohomologyBibliographyIndex
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