This book covers the topics of differential manifolds, Riemannian metrics, connections, geodesics and curvature, with special emphasis on the intrinsic features of the subject. It treats in detail classical results on the relations between curvature and topology. The book features numerous exercises with full solutions and a series of detailed examples are picked up repeatedly to illustrate each new definition or property introduced.
| ISBN: | 9783540179238 |
| Publication date: | 20th August 1987 |
| Author: | Sylvestre Gallot, Dominique Hulin, Jacques Lafontaine |
| Publisher: | Springer an imprint of Springer Berlin Heidelberg |
| Format: | Paperback |
| Pagination: | 248 pages |
| Series: | Universitext |
| Genres: |
Differential and Riemannian geometry Topology Mathematical physics |