Riemannian geometry /
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| Author / Creator: | Carmo, Manfredo Perdigão do |
|---|---|
| Uniform title: | Geometria riemanniana. English |
| Imprint: | Boston : Birkhäuser, c1992. |
| Description: | 300 p. : ill. ; 29 cm. |
| Language: | English |
| Series: | Mathematics. Theory and applications Mathematics (Boston, Mass.) |
| Subject: | |
| Format: | Print Book |
| URL for this record: | http://pi.lib.uchicago.edu/1001/cat/bib/1295768 |
Table of Contents:
- Preface to the 1st edition
- Preface to the 2nd edition
- Preface to the English edition
- How to use this book
- 0. Differentiable Manifolds
- 1. Riemannian Metrics
- 2. Affine Connections
- Riemannian Connections
- 3. Geodesics
- Convex Neighborhoods
- 4. Curvature
- 5. Jacobi Fields
- 6. Isometric Immersions
- 7. Complete Manifolds
- Hopf-Rinow and Hadamard Theorems
- 8. Spaces of Constant Curvature
- 9. Variations of Energy
- 10. The Rauch Comparison Theorem
- 11. The Morse Index Theorem
- 12. The Fundamental Group of Manifolds of Negative Curvature
- 13. The Sphere Theorem
- References
- Index
