微分几何中的变换群

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.Isometres of Riemannian Manifolds

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

1. 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

1. 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

《微分几何中的变换群》内容包括：Automorphisms of G-Structures、Isometres of Riemannian Manifolds、Automorphisms of Complex Manifolds、Affine， Conformal and Projective Transformations等。