English

Anosov representations and proper actions

Group Theory 2017-02-15 v5 Geometric Topology

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.

Keywords

Cite

@article{arxiv.1502.03811,
  title  = {Anosov representations and proper actions},
  author = {François Guéritaud and Olivier Guichard and Fanny Kassel and Anna Wienhard},
  journal= {arXiv preprint arXiv:1502.03811},
  year   = {2017}
}

Comments

73 pages, 4 figures; to appear in Geometry & Topology

R2 v1 2026-06-22T08:28:43.227Z