Riemannian Manifolds : An Introduction to Curvature

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Riemannian Manifolds : An Introduction...

Riemannian Manifolds : An Introduction to Curvature

Name: Riemannian Manifolds : An Introduction to Curvature
ISBN: 9780387982717

John M. Lee

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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.

類別:

Mathematics - Geometry and Topology

年:

1997

版本:

出版商:

Springer

語言:

english

頁數:

224

ISBN 10: