Geometry of nonpositively curved manifolds

Bibliographic Information

Geometry of nonpositively curved manifolds

Patrick B. Eberlein

(Chicago lectures in mathematics)

University of Chicago Press, 1996

  • : pbk. : alk. paper

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Note

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

Description and Table of Contents

Description

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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