Riemannian Manifolds

Riemannian Manifolds

An Introduction to Curvature

eBook - 1997
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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.
Publisher: New York : Springer, c1997
ISBN: 9780585499017
0585499012
Characteristics: xv, 224 p. : ill. 24 cm
Additional Contributors: NetLibrary, Inc

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