Translation of the 2nd ed. of: Geometria riemanniana.
INTERNAL BIBLIOGRAPHIES/INDEXES NOTE
Text of Note
Includes bibliographical references (pages 292-296) and index.
CONTENTS NOTE
Text of Note
Preface to the 1st edition -- Preface to the 2nd edition -- Preface to the English edition -- How to use this book -- 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 -- References -- Index.