Introduction to Riemannian Manifolds

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:
en
ISBN:
9783319917542
Publish year:
2019
Publish date:
Jan. 14, 2019

John M. Lee

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