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Transformation Groups in Differential Geometry

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ISBN-10: 3540586598

ISBN-13: 9783540586593

Edition: 2nd 1995 (Reprint)

Authors: Shoshichi Kobayashi

List price: $59.99
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Book details

List price: $59.99
Edition: 2nd
Copyright year: 1995
Publisher: Springer Berlin / Heidelberg
Publication date: 2/15/1995
Binding: Paperback
Pages: 182
Size: 6.10" wide x 9.17" long x 0.50" tall
Weight: 2.156
Language: English

Automorphisms of 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
Pseudogroup Structures, G-Structures and Filtered Lie Algebras
Isometries of Riemannian Manifolds
The Group of Isometries of a Riemannian Manifold
Infinitesimal Isometries and Infinitesimal Affine Transformations
Riemannian Manifolds with Large Group of Isometries
Riemannian Manifolds with Little Isometries
Fixed Points of Isometries
Infinitesimal Isometries and Characteristic Numbers
Automorphisms of Complex Manifolds
The Group of Automorphisms of a Complex Manifold
Compact Complex Manifolds with Finite Automorphism Groups
Holomorphic Vector Fields and Holomorphic 1-Forms
Holomorphic Vector Fields on Kahler Manifolds
Compact Einstein-Kahler Manifolds
Compact Kahler Manifolds with Constant Scalar Curvature
Conformal Changes of the Laplacian
Compact Kahler Manifolds with Nonpositive First Chern Class
Projectively Induced Holomorphic Transformations
Zeros of Infinitesimal Isometries
Zeros of Holomorphic Vector Fields
Holomorphic Vector Fields and Characteristic Numbers
Affine, Conformal and Projective Transformations
The Group of Affine Transformations of an Affinely Connected Manifold
Affine Transformations of Riemannian Manifolds
Cartan Connections
Projective and Conformal Connections
Frames of Second Order
Projective and Conformal Structures
Projective and Conformal Equivalences
App. 1. Reductions of 1-Forms and Closed 2-Forms
App. 2. Some Integral Formulas
App. 3. Laplacians in Local Coordinates
App. 4. A Remark on d'd''-Cohomology