Title: Metric spaces of non-positive curvature /
Authors: Bridson, Martin R., 1964-; Haefliger, André.
Publisher: Springer,
Year: 1999
Subjects: Metric spaces.; Geometry, Differential.
Contents: Pt. I. Geodesic Metric Spaces -- 1. Basic Concepts -- 2. The Model Spaces M[subscript [kappa]][superscript n] -- 3. Length Spaces -- 4. Normed Spaces -- 5. Some Basic Constructions -- 6. More on the Geometry of M[subscript [kappa]][superscript n] -- 7. M[subscript [kappa]]-Polyhedral Complexes -- 8. Group Actions and Quasi-Isometries -- Pt. II. CAT([kappa]) Spaces -- 1. Definitions and Characterizations of CAT([kappa]) Spaces -- 2. Convexity and Its Consequences -- 3. Angles, Limits, Cones and Joins -- 4. The Cartan-Hadamard Theorem -- 5. M[subscript [kappa]]-Polyhedral Complexes of Bounded Curvature -- 6. Isometries of CAT(0) Spaces -- 7. The Flat Torus Theorem -- 8. The Boundary at Infinity of a CAT(0) Space -- 9. The Tits Metric and Visibility Spaces -- 10. Symmetric Spaces -- 11. Gluing Constructions -- 12. Simple Complexes of Groups -- Pt. III. Aspects of the Geometry of Group Actions -- H. [delta]-Hyperbolic Spaces -- [Gamma]. Non-Positive Curvature and Group Theory -- C. Complexes of Groups -- G. Groupoids of local Isometries.