TY  - BOOK
AU  - Carmo, Manfredo Perdigao.
TI  - Riemannian geometry
T2  - Mathematics : theory & applications
SN  - 978-0817634902 (hardbound)
U1  - 516.373 CAR 
PY  - 2019///.  14th Printing
CY  - Berlin
PB  - Birkhauser
N1  - GBP44.99/-
Segment 62316/1; Preface  --
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
N2  - This is a new and expanded edition of this textbook for first-year graduate students in mathematics and physics, discussing the basic language of Riemannian geometry and presenting some of its most fundamental theorems. It features examples and exercises.
ER  -