Introduction to Riemannian Manifolds
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Product description
This text focuses on developing an intimate acquaintance with the geometric meaning of curvature and thereby introduces and demonstrates all the main technical tools needed for a more advanced course on Riemannian manifolds. It covers proving the four most fundamental theorems relating curvature and topology: the Gauss-Bonnet Theorem, the Cartan-Hadamard Theorem, Bonnet's Theorem, and a special case of the Cartan-Ambrose-Hicks Theorem.
Details
- ISBN13 9783319917542
- Pages 437
- Released 2019
- Publisher Springer International Publishing AG
- Format Hardback
- Edition 2
- Language English