Riemannian Manifolds: An Introduction to Curvature (Graduate Texts in Mathematics)

Type

Book

Authors

Lee ( John M. Lee )

ISBN 10

0387983228

ISBN 13

9780387983226

Tags

Analytic Geometry, Differential Geometry, Geometry

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. - from Amzon

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