Riemannian geometry
Peter Petersen.
New York : Springer, ©1998.
xvi, 432 págs. : ilustraciones ; 24 cm.
Serie: Graduate texts in mathematics ; 171
ISBN: 0387982124 (hardcover)
Incluye referencias bibliográficas (p. [421]-425) e índice.
Reseña:
MathSciNet, 98m:53001
Bull. A.M.S., v. 37 no. 4 (2000)
Contenido
- 1. Riemannian metrics
- 2. Curvature
- 3. Examples
- 4. Hypersurfaces
- 5. Geodesics and distance
- 6. Sectional curvature comparison I
- 7. The Bochner technique
- 8. Symmetric spaces and holonomy
- 9. Ricci curvature comparison
- 10. Convergence
- 11. Sectional curvature comparison II
- Appendix A: de Rham cohomology
- Appendix B: Principal bundles
- Appendix C: Spinors.