《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……
基本介紹
- 書名：微分幾何中的變換群
- 作者：小林昭七
- 出版日期：2010年9月1日
- 語種：英語
- ISBN：9787510027321, 7510027322
- 外文名：Transformation Groups in Differential Geomentry
- 出版社：世界圖書出版公司
- 頁數：182頁
- 開本：24
基本介紹,內容簡介,作者簡介,圖書目錄,
基本介紹
內容簡介
《微分幾何中的變換群(英文版)》是由世界圖書出版公司出版的。
作者簡介
作者：（日本）小林昭七
圖書目錄
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 Symplectic Structures
7. Contact Structures
8. Pseudogroup Structures, G-Structures and Filtered Lie Algebras
Ⅱ
1. The Group of Isometries of a Riemannian Manifold
2. Infinitesimal Isometrics and Infinitesimal Affine Trans formations
3. Riemannian Manifolds with Large Group of Isometrics
4. Riemannian Manifolds with Little Isometries
5. Fixed Points of Isometrics
6. Infinitesimal Isometrics and Characteristic Numbers
Ⅲ. 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 l-Forms
4. Holomorphic 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 Isometries
11. Zeros of Holomorphic Vector Fields
12. Holomorphic Vector Fields and Characteristic Numbers
IV. Affine, Conformal and Projective Transformations
I. The Group of Affine Transformations of an Affinely Con nected 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 Equivalences
Appendices
1. Reductions of l-Forms and Closed 2-Forms
2. Some Integral Formulas
3. Laplacians in Local Coordinates
4. A Remark on d'd"-Cohomology
Bibliography
Index
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 Symplectic Structures
7. Contact Structures
8. Pseudogroup Structures, G-Structures and Filtered Lie Algebras
Ⅱ
1. The Group of Isometries of a Riemannian Manifold
2. Infinitesimal Isometrics and Infinitesimal Affine Trans formations
3. Riemannian Manifolds with Large Group of Isometrics
4. Riemannian Manifolds with Little Isometries
5. Fixed Points of Isometrics
6. Infinitesimal Isometrics and Characteristic Numbers
Ⅲ. 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 l-Forms
4. Holomorphic 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 Isometries
11. Zeros of Holomorphic Vector Fields
12. Holomorphic Vector Fields and Characteristic Numbers
IV. Affine, Conformal and Projective Transformations
I. The Group of Affine Transformations of an Affinely Con nected 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 Equivalences
Appendices
1. Reductions of l-Forms and Closed 2-Forms
2. Some Integral Formulas
3. Laplacians in Local Coordinates
4. A Remark on d'd"-Cohomology
Bibliography
Index
