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- Title
Affine Anosov Representations and Proper Actions.
- Authors
Ghosh, Sourav; Treib, Nicolaus
- Abstract
We define the notion of affine Anosov representations of word hyperbolic groups into the affine group |$\textsf {SO}^0(n+1,n)\ltimes {\mathbb {R}}^{2n+1}$|. We then show that a representation |$\rho $| of a word hyperbolic group is affine Anosov if and only if its linear part |$\mathtt {L}_\rho $| is Anosov in |$\textsf {SO}^0(n+1,n)$| with respect to the stabilizer of a maximal isotropic plane and |$\rho (\Gamma)$| acts properly on |$\mathbb {R}^{2n+1}$|.
- Subjects
HYPERBOLIC groups; AFFINE algebraic groups
- Publication
IMRN: International Mathematics Research Notices, 2023, Vol 2023, Issue 16, p14334
- ISSN
1073-7928
- Publication type
Article
- DOI
10.1093/imrn/rnac232