Geometry of Nonpositivey Curved Manifolds (Chicago Lectures in Mathematics Series)
Book News, Inc. A graduate level reference text introducing the geometry of symmetric spaces of noncompact type. Eberlein (mathematics, U. of North Carolina, Chapel Hill) gives a selfcontained treatment of differentiable spaces of nonpositive curvature, focusing on higher rank symmetric spaces in which every geodesic lies in a flat Euclidean space of dimension at least two, and proof of Mostow's Rigidy Theorem in the higher rank case rewritten in differential geometric language and describing several differential geometric characterizations of higher rank symmetric spaces arising from the theorem's generalizations. The author concludes with a discussion of the relationship between the geometric properties of nonpositively curved spaces and algebraic properties of their fundamental groups.  Copyright © 1999 Book News, Inc., Portland, OR All rights reserved Synopsis Starting from the foundations, this text presents an almost entirely selfcontained 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.
Differentialgeometrie > Geometry of Nonpositivey Curved Manifolds (Chicago Lectures in Mathematics Series) 
