Riemannian Geometry: A Modern Introduction
Isaac Chavel
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.
Năm:
2006
In lần thứ:
2
Nhà xuát bản:
Cambridge University Press
Ngôn ngữ:
english
Trang:
489
ISBN 10:
0521619548
Loạt:
Cambridge Studies in Advanced Mathematics 98
File:
PDF, 2.47 MB
IPFS:
,
english, 2006
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