Actions of certain arithmetic groups on Gromov hyperbolic spaces

Manning, Jason Fox¹

¹Dept of Mathematics, SUNY Buffalo, Buffalo, NY 14260-2900, USA

Algebraic and Geometric Topology, Tome 8 (2008) no. 3, pp. 1371-1402

Résumé

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.

Détail

DOI : 10.2140/agt.2008.8.1371

Keywords: arithmetic group, group action, Gromov hyperbolic space, rigidity

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