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Anosov representations
and proper actions
François Guéritaud, Olivier Guichard, Fanny Kassel and Anna Wienhard |
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Geometry & Topology 21 (2017) 485–584
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Abstract |
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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
Anosov representations, properly discontinuous actions,
discrete subgroups of Lie groups, representations of
hyperbolic groups, boundary maps, Cartan projection
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Mathematical Subject Classification 2000
Primary: 22E40, 57S30, 37D40, 20H10, 22F30
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References |
Publication
Received: 8 June 2015
Revised: 12 January 2016
Accepted: 17 January 2016
Published: 10 February 2017
Proposed: Benson Farb
Seconded: Walter Neumann, Martin Bridson
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Authors |
| François Guéritaud | |
| CNRS and Laboratoire Paul
Painlevé Université Lille 1 59655 Villeneuve d’Ascq Cedex France |
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| Olivier Guichard | |
| IRMA Université de Strasbourg 7 rue Descartes 67000 Strasbourg France |
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| Fanny Kassel | |
| CNRS and Laboratoire Alexander
Grothendieck Institut des Hautes Études Scientifiques 35 route de Chartres 91440 Bures-sur-Yvette France |
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| Anna Wienhard | |
| Mathematisches Institut Ruprecht-Karls Universität Heidelberg Im Neuenheimer Feld 288 D-69120 Heidelberg Germany |
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