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Actions of certain arithmetic groups on Gromov hyperbolic spaces

Jason Fox Manning
Algebraic & Geometric Topology 8 (2008) 1371–1402
DOI: 10.2140/agt.2008.8.1371
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