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Riemannian Manifolds - John M. Lee
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Title
Riemannian Manifolds - An Introduction to Curvature
Riemannian Manifolds - An Introduction to Curvature
Author
John M. Lee
John M. Lee
format
Paperback / softback
Paperback / softback
Publisher
Springer
Springer
Language
English
English
UK Publication Date
19970905
19970905
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.
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