Geometry of Nonpositively Curved Manifolds

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A01=Patrick B. Eberlein
Author_Patrick B. Eberlein
Category=PBM
Category=PBP
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Product details

  • ISBN 9780226181981
  • Weight: 680g
  • Dimensions: 17 x 23mm
  • Publication Date: 01 Apr 1997
  • Publisher: The University of Chicago Press
  • Publication City/Country: US
  • Product Form: Paperback
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Starting from the foundations, this text 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.

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