Contents
Preface ix
Chapter 1. CR Structures 1
1. Some observations of Poincare 1
2. CR manifolds 3
3. CR functions 17
4. CR maps and the realization problem 19
5. CR structures by means of differential forms 24
6. Reinhardt hypersurfaces 30
Chapter 2. Some Automorphism Groups 35
1. Automorphism groups and the absence of a Riemann Mapping
Theorem 35
2. The group SU(2, 1) 42
Chapter 3. Formal Theory of the Normal Form 57
Chapter 4. Geometric Theory of the Normal Form 67
Chapter 5. Background for Cartan's Work 89
1. A simple equivalence problem 89
2. Maurer-Cartan connections 93
3. Projective structures 106
Chapter 6. Cartan's Construction 117
1. The basic construction 117
2. Two variations 129
Chapter 7. Geometric Consequences 147
Chapter 8. Chains 157
1. The chains of Cartan and Moser 157
2. Example: A family of Reinhardt hypersurfaces 171
3. Chain-preserving maps 179
4. Other results 182
Previous Page Next Page