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Anosov representations and proper actions

Published 12 Feb 2015 in math.GR and math.GT | (1502.03811v5)

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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