Riemannian geometry /
Carmo, Manfredo Perdigao.
Riemannian geometry / [Translated by] Francis Flaherty. - Berlin Birkhauser 2019. 14th Printing - 300pages, 24cm. - Mathematics : theory & applications .
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.
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.
978-0817634902 (hardbound)
2015960754
516.373 CAR
Riemannian geometry / [Translated by] Francis Flaherty. - Berlin Birkhauser 2019. 14th Printing - 300pages, 24cm. - Mathematics : theory & applications .
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.
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.
978-0817634902 (hardbound)
2015960754
516.373 CAR