ENGLISH

Geometry of nonpositively curved manifolds

By Patrick B. Eberlein

Book information

Publisher
University of Chicago Press
Year
1997
ISBN
9780226181981, 9780226181974, 0226181987, 0226181979
LCC
QA649 .E24 1996
Open Library ID
OL981620M
Language
english
Format
DJVU
Filesize
7 MB (7099626 bytes)
Series
Chicago Lectures in Mathematics
Edition
1
Pages
457\457
Library
Kolxo3
DPI
600
Time added
2010-07-29 05:14:56

Description

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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