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Actions of certain
arithmetic groups on Gromov hyperbolic spaces
Jason Fox Manning |
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Algebraic & Geometric Topology 8 (2008) 1371–1402
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Abstract |
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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
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Mathematical Subject Classification 2000
Primary: 20F65
Secondary: 20E08, 53C24
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References |
Publication
Received: 20 April 2007
Accepted: 28 June 2008
Published: 8 August 2008
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Authors |
| Jason Fox Manning | |
| Dept of Mathematics SUNY Buffalo Buffalo, NY 14260-2900 USA |
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| http://www.math.buffalo.edu/~j399m | |
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