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Spaces of constant curvature

Author: Joseph Albert Wolf
Publisher: Providence, R.I. : AMS Chelsea Pub., ©2011.
Edition/Format:   Print book : English : 6th edView all editions and formats
Summary:
This book is the sixth edition of the classic Spaces of Constant Curvature, first published in 1967, with the previous (fifth) edition published in 1984. It illustrates the high degree of interplay between group theory and geometry. The reader will benefit from the very concise treatments of Riemannian and pseudo-Riemannian manifolds and their curvatures, of the representation theory of finite groups, and of  Read more...
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Document Type: Book
All Authors / Contributors: Joseph Albert Wolf
ISBN: 9780821852828 0821852825
OCLC Number: 661181769
Description: xv, 420 pages : illustrations ; 27 cm
Contents: Affine differential geometry --
Riemannian curvature --
Flat Riemannian manifolds --
Representations of finite groups --
Vincent's work on the spherical space form problem --
The classification of fixed point free groups --
The solution to the spherical space form problem --
Rieman symmetric spaces --
Space forms of irreducible symmetric spaces --
Locally symmetric spaces of non-negative curvature --
Spaces of constant curvature --
Locally isotropic manifolds.
Responsibility: Joseph A. Wolf.

Abstract:

This sixth edition illustrates the high degree of interplay between group theory and geometry. The reader will benefit from the very concise treatments of riemannian and pseudo-riemannian manifolds  Read more...

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