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| 本书是为数不多的整合了黎曼几何的几何和分析两方面内容的专著之一，参考价值很高。 |
| Preface Chapter 1. Riemannian Metrics 1. Riemannian Manifolds and Maps 2. Groups and Riemannian Manifolds 3. Local Representations of Metrics 4. Doubly Warped Products 5. Exercises Chapter 2. Curvature 1. Connections 2. The Connection in Local Coordinates 3. Curvature 4. The Fundamental Curvature Equations 5. The Equations of Riemannian Geometry 6. Some Tensor Concepts 7. Further Study 8. Exercises Chapter 3. Examples 1. Computational Simplifications 2. Warped Products 3. Hyperbolic Space 4. Metrics on Lie Groups 5. Riemannian Submersions 6. Fhrther Study 7. Exercises Chapter 4. Hypersurface |
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