Volume 8, issue 3 (2008)

Download this article
Download this article For screen
For printing
Recent Issues

Volume 17
Issue 6, 3213–3852
Issue 5, 2565–3212
Issue 4, 1917–2564
Issue 3, 1283–1916
Issue 2, 645–1281
Issue 1, 1–643

Volume 16, 6 issues

Volume 15, 6 issues

Volume 14, 6 issues

Volume 13, 6 issues

Volume 12, 4 issues

Volume 11, 5 issues

Volume 10, 4 issues

Volume 9, 4 issues

Volume 8, 4 issues

Volume 7, 4 issues

Volume 6, 5 issues

Volume 5, 4 issues

Volume 4, 2 issues

Volume 3, 2 issues

Volume 2, 2 issues

Volume 1, 2 issues

The Journal
About the Journal
Subscriptions
Editorial Board
Editorial Interests
Editorial Procedure
Submission Guidelines
Submission Page
Author Index
To Appear
ISSN (electronic): 1472-2739
ISSN (print): 1472-2747
Actions of certain arithmetic groups on Gromov hyperbolic spaces

Jason Fox Manning

Algebraic & Geometric Topology 8 (2008) 1371–1402
Abstract

We study the variety of actions of a fixed (Chevalley) group on arbitrary geodesic, Gromov hyperbolic spaces. In high rank we obtain a complete classification. In rank one, we obtain some partial results and give a conjectural picture.

Keywords
arithmetic group, group action, Gromov hyperbolic space, rigidity
Mathematical Subject Classification 2000
Primary: 20F65
Secondary: 20E08, 53C24
References
Publication
Received: 20 April 2007
Accepted: 28 June 2008
Published: 8 August 2008
Authors
Jason Fox Manning
Dept of Mathematics
SUNY Buffalo
Buffalo, NY 14260-2900
USA
http://www.math.buffalo.edu/~j399m