Mathematics

Introduction to Riemannian Manifolds

Name: Introduction to Riemannian Manifolds: 176
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ISBN: 9783319917542

176

(Author) John M. Lee

Format: HardCover

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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 topology: the Gauss-Bonnet Theorem, the Cartan-Hadamard Theorem, Bonnet’s Theorem, and a special case of the Cartan-Ambrose-Hicks Theorem.

Information

Publisher:

Springer International Publishing AG

Format:

HardCover

Number of pages:

427

Language:

ISBN:

9783319917542

Publish year:

2019