Geometry of Nonpositively Curved Manifolds

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 symmetric spaces of non-compact
type will serve as an excellent guide for graduate students new to the
material, and will also be a useful reference text for mathematicians
already familiar with the subject.

About the author

Patrick B. Eberlein is professor of mathematics at the University of North Carolina at Chapel Hill.

Summary

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.

Product details

• Authors: Patrick Eberlein, Patrick B. Eberlein, Eberlein Patrick B.
• Publisher: University Presses
• Languages: English
• Product format: Paperback / Softback
• Released: 01.04.1997
• EAN: 9780226181981
• ISBN: 978-0-226-18198-1
• No. of pages: 456
• Dimensions: 17 mm x 23 mm x 3 mm
• Weight: 680 g
• Series: Chicago Lectures in Mathematic; Chicago Lectures in Mathematics; Chicago Lectures in Mathematics Series CLM (CHUP); Chicago Lectures in Mathematics Series CLM
• Subjects: Natural sciences, medicine, IT, technology > Mathematics > Geometry; MATHEMATICS / Geometry / General, MATHEMATICS / Topology, geometry, Topology