Geometry of nonpositively curved manifolds. Patrick B. Eberlein

Geometry of nonpositively curved manifolds



Download Geometry of nonpositively curved manifolds



Geometry of nonpositively curved manifolds Patrick B. Eberlein ebook djvu
Publisher: Chicago
Language: English
Page: 457
ISBN: 0226181987, 9780226181981

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.

About the Author

Patrick B. Eberlein is professor of mathematics at the University of North Carolina at Chapel Hill.



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