Riemannian Geometry

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Series: Cambridge Studies in Advanced Mathematics, Book 98

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ISBN10: 0521619548
ISBN13: 9780521619547
Publisher: Cambridge University Press
Published: Apr 10 2006
Pages: 488
Weight: 1.41
Height: 1.05 Width: 6.66 Depth: 9.16
Language: English

Requiring only an understanding of differentiable manifolds, Isaac Chavel covers introductory ideas followed by a selection of more specialized topics in this second edition. He provides a clearer treatment of many topics, with new proofs of some theorems and a new chapter on the Riemannian geometry of surfaces. Among the classical topics shown in a new setting is isoperimetric inequalities in curved spaces. Completely new themes created by curvature include the classical Rauch comparison theorem and its consequences in geometry and topology, and the interaction of microscopic behavior of the geometry with the macroscopic structure of the space.

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