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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 the Gauss-Bonnet Theorem, the Cartan-Hadamard Theorem, Bonnet's Theorem, and a special case of the Cartan-Ambrose-Hicks Theorem.
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Graduate Texts in Mathematics - 176: Riemannian Manifolds, John Lee
- Language
- Released
- 1997
- Binding
- (Paperback),
- Book condition
- Good
- Price
- €36.49
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- Title
- Graduate Texts in Mathematics - 176: Riemannian Manifolds
- Subtitle
- An Introduction to Curvature
- Language
- English
- Authors
- John Lee
- Publisher
- Springer
- Released
- 1997
- Format
- Paperback
- Pages
- 244
- ISBN10
- 0387983228
- ISBN13
- 9780387983226
- Series
- 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 the Gauss-Bonnet Theorem, the Cartan-Hadamard Theorem, Bonnet's Theorem, and a special case of the Cartan-Ambrose-Hicks Theorem.