Geometry of nonpositively curved manifolds /
Patrick B. Eberlein.
- Chicago : University of Chicago Press, c1996.
- 449 p. ; 24 cm.
- Chicago lectures in mathematics .
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.