ENGLISH

Riemannian geometry: a modern introduction

By Isaac Chavel

Book information

Publisher
Cambridge University Press
Year
2006
ISBN
0521619548, 9780521619547
LCC
QA649 .C45 2006
Open Library ID
OL22731567M
Language
english
Format
PDF
Filesize
2 MB (2310048 bytes)
Series
Cambridge Studies in Advanced Mathematics 98
Edition
2
Pages
489\489
Library
Kolxo3
Scanned
yes
Time added
2009-07-20 03:45:11

Description

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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