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Geometry of Nonpositively Curved Manifolds

Posted on 2010-03-16




Name:Geometry of Nonpositively Curved Manifolds
ASIN/ISBN:0226181987
Language:English
File size:10 Mb
Publish Date: 1997
ISBN: 0226181987, 0226181979
Pages: 336 pages
File Type: PDF
File Size: 10 MB
Other Info: University Of Chicago Press
   Geometry of Nonpositively Curved Manifolds

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Patrick B. Eberlein, ""

Starting from the foundations, the author presents an almost entirely

self-contained treatment of differentiable spaces of nonpositive

curvature, focusing on the symmetric spaces in which every geodesic lies

in a flat Euclidean space of dimension at least two. The book builds to

a discussion of the Mostow Rigidity Theorem and its generalizations, and

concludes by exploring the relationship in nonpositively curved spaces

between geometric and algebraic properties of the fundamental group.

This introduction to the geometry of symmetric spaces of non-compact

type will serve as an excellent guide for graduate students new to the

material, and will also be a useful reference text for mathematicians

already familiar with the subject.

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