Geometry of nonpositively curved manifolds /
Eberlein, Patrick, 1944-
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.
0226181979 (cloth : alk. paper) 0226181987 (pbk. : alk. paper)
Geometry, Differential.
Manifolds (Mathematics)
QA649 / .E24 1996
516.3/62
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.
0226181979 (cloth : alk. paper) 0226181987 (pbk. : alk. paper)
Geometry, Differential.
Manifolds (Mathematics)
QA649 / .E24 1996
516.3/62