Riemannian Geometry 4E - Carmo, M.P. Do

Riemannian Geometry 4E

M.P. Do Carmo

Yayınevi: Birkhauser

Yayın tarihi: 01/1992

ISBN: 9780817634902

Ciltli | İngilizce | 300 Sayfa | 156 mm x 234 mm; 53 illustrations

Tür: Matematik-İstatistik

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"In the reviewer's opinion, this is a superb book which makes learning a real pleasure." Revue Romaine de Mathématiques Pures et Appliquées
"This main-stream presentation of differential geometry serves well for a course on Riemannian geometry, and it is complemented by many annotated exercises." Monatshefte für Mathematik
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

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