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.

Geometry of Nonpositively Curved Manifolds

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Paperback / softback by Patrick B. Eberlein

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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... Read more

    Publisher: The University of Chicago Press
    Publication Date: 01/04/1997
    ISBN13: 9780226181981, 978-0226181981
    ISBN10: 0226181987

    Number of Pages: 456

    Non Fiction , Mathematics & Science , Education

    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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