Riemannian geometry
Manfredo Perdigão do Carmo ; translated by Francis Flaherty.
Boston : Birkhäuser, ©1992.
300 págs. : ilustraciones ; 25 cm.
Serie: Mathematics. Theory & applications
ISBN: 0817634908, 3764334908
Traducción de: Geometria riemanniana. 2.ª ed.
Incluye referencias bibliográficas (p. [292]-296) e índice.
Reseña: MathSciNet, 92i:53001
Contenido
- 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.