Affine Anosov representations and proper actions

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Abstract:

We define the notion of affine Anosov representations of word hyperbolic groups into the affine group \SO^0(n+1,n)⋉\bR^2n+1. We then show that a representation ρof a word hyperbolic group is affine Anosov if and only if its linear part \mathttL_ρis Anosov in \mathsfSO^0(n+1,n) with respect to the stabilizer of a maximal isotropic plane and ρ(Γ) acts properly on \mathbbR^2n+1.

SEEK ID: https://publications.h-its.org/publications/994

Research Groups: Groups and Geometry

Publication type: Misc

Journal: arXiv preprints

Citation: arXiv:1711.09712 [math.GT]

Date Published: 2017

URL: https://arxiv.org/abs/1711.09712

Registered Mode: imported from a bibtex file

Authors: Sourav Ghosh, Nicolaus Treib

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