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arXiv · 1502.03811

Anosov representations and proper actions

François Guéritaud·Olivier Guichard·Fanny Kassel·Anna Wienhard
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Abstract

We establish several characterizations of Anosov representations of word hyperbolic groups into real reductive Lie groups, in terms of a Cartan projection or Lyapunov projection of the Lie group. Using a properness criterion of Benoist and Kobayashi, we derive applications to proper actions on homogeneous spaces of reductive groups.

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François Guéritaud, Olivier Guichard, Fanny Kassel, Anna Wienhard. 2016-02-25. Anosov representations and proper actions. https://doi.org/10.2140/gt.2017.21.485

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