Differential Geometry, Lie Groups and Symmetric Spaces (Hardcover, New edition)

The study of homogeneous spaces provides insights into both differential geometry and lie groups. In geometry, for instance, general theorems and properties will also hold for homogeneous spaces, and will usually be easier to understand and to prove in this setting. For lie groups, a significant amount of analysis either begins with or reduces to analysis on homogeneous spaces, frequently on symmetric spaces This text begins with a concise, self-contained introduction to differential geometry. It then introduces lie groups and lie algebras, including important results on their structure. This sets the stage for the introduction and study of symmetric spaces, which form the central part of the book. The exposition is supplemented by extensive collections of useful exercises at the end of each chapter. All the problems have either solutions or substantial hints, found at the back of the book.

General

Imprint:	American Mathematical Society
Country of origin:	United States
Series:	Graduate Studies in Mathematics
Release date:	June 2001
First published:	August 2001
Authors:	Sigurdur Helgason
Dimensions:	260 x 186 x 39mm (L x W x T)
Format:	Hardcover
Pages:	641
Edition:	New edition
ISBN-13:	978-0-8218-2848-9
Categories:	Books > Science & Mathematics > Mathematics > Calculus & mathematical analysis > Complex analysis Books > Science & Mathematics > Mathematics > Geometry > Differential & Riemannian geometry Books > Science & Mathematics > Mathematics > Topology > Algebraic topology
LSN:	0-8218-2848-7
Barcode:	9780821828489

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