Geometry of Nonpositively Curved Manifolds


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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 ...

Geometry of Nonpositively Curved Manifolds 1997, University of Chicago Press, Chicago, IL

ISBN-13: 9780226181974