| Automorphisms of G-Structures | p. 1 |
| G-Structures | p. 1 |
| Examples of G-Structures | p. 5 |
| Two Theorems on Differentiable Transformation Groups | p. 13 |
| Automorphisms of Compact Elliptic Structures | p. 16 |
| Prolongations of G-Structures | p. 19 |
| Volume Elements and Symplectic Structures | p. 23 |
| Contact Structures | p. 28 |
| Pseudogroup Structures, G-Structures and Filtered Lie Algebras | p. 33 |
| Isometries of Riemannian Manifolds | p. 39 |
| The Group of Isometries of a Riemannian Manifold | p. 39 |
| Infinitesimal Isometries and Infinitesimal Affine Transformations | p. 42 |
| Riemannian Manifolds with Large Group of Isometries | p. 46 |
| Riemannian Manifolds with Little Isometries | p. 55 |
| Fixed Points of Isometries | p. 59 |
| Infinitesimal Isometries and Characteristic Numbers | p. 67 |
| Automorphisms of Complex Manifolds | p. 77 |
| The Group of Automorphisms of a Complex Manifold | p. 77 |
| Compact Complex Manifolds with Finite Automorphism Groups | p. 82 |
| Holomorphic Vector Fields and Holomorphic 1-Forms | p. 90 |
| Holomorphic Vector Fields on Kahler Manifolds | p. 92 |
| Compact Einstein-Kahler Manifolds | p. 95 |
| Compact Kahler Manifolds with Constant Scalar Curvature | p. 97 |
| Conformal Changes of the Laplacian | p. 100 |
| Compact Kahler Manifolds with Nonpositive First Chern Class | p. 103 |
| Projectively Induced Holomorphic Transformations | p. 106 |
| Zeros of Infinitesimal Isometries | p. 112 |
| Zeros of Holomorphic Vector Fields | p. 115 |
| Holomorphic Vector Fields and Characteristic Numbers | p. 119 |
| Affine, Conformal and Projective Transformations | p. 122 |
| The Group of Affine Transformations of an Affinely Connected Manifold | p. 122 |
| Affine Transformations of Riemannian Manifolds | p. 125 |
| Cartan Connections | p. 127 |
| Projective and Conformal Connections | p. 131 |
| Frames of Second Order | p. 139 |
| Projective and Conformal Structures | p. 141 |
| Projective and Conformal Equivalences | p. 145 |
| App. 1. Reductions of 1-Forms and Closed 2-Forms | p. 150 |
| App. 2. Some Integral Formulas | p. 154 |
| App. 3. Laplacians in Local Coordinates | p. 157 |
| App. 4. A Remark on d'd''-Cohomology | p. 159 |
| Bibliography | p. 160 |
| Index | p. 181 |
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