Geometry and Dynamics in Gromov Hyperbolic Metric Spaces: With an Emphasis on Non-Proper Settings
About this Title
Tushar Das, University of Wisconsin, La Crosse, La Crosse, WI, David Simmons, University of York, York, United Kingdom and Mariusz Urbański, University of North Texas, Denton, TX
Publication: Mathematical Surveys and Monographs
Publication Year:
2017; Volume 218
ISBNs: 978-1-4704-3465-6 (print); 978-1-4704-4048-0 (online)
DOI: https://doi.org/10.1090/surv/218
MathSciNet review: MR3558533
MSC: Primary 20F67; Secondary 20E08, 28A78, 37-02, 37A45, 37F35
ReadershipTable of Contents
Front/Back Matter
Preliminaries
- Algebraic hyperbolic spaces
- $\mathbb {R}$-trees, CAT(-1) spaces, and Gromov hyperbolic metric spaces
- More about the geometry of hyperbolic metric spaces
- Discreteness
- Classification of isometries and semigroups
- Limit sets
The Bishop–Jones theorem
Examples
- Schottky products
- Parabolic groups
- Geometrically finite and convex-cobounded groups
- Counterexamples
- $\mathbb {R}$-trees and their isometry groups
Patterson–Sullivan theory
