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Geometry of nonpositively curved manifolds / Patrick B. Eberlein.

By: Material type: TextTextSeries: Chicago lectures in mathematicsPublication details: Chicago : University of Chicago Press, c1996.Description: 449 p. ; 24 cmISBN:
  • 0226181979 (cloth : alk. paper)
  • 0226181987 (pbk. : alk. paper)
Subject(s): DDC classification:
  • 516.3/62 20
LOC classification:
  • QA649 .E24 1996
Online resources: Summary: 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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Item type Current library Call number Copy number Status Barcode
Books Library First Floor QA649 .E24 1996 (Browse shelf(Opens below)) 1 Available 12126

Includes bibliographical references (p. [429]-436) and indexes.

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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