Notions of Anosov representation of relatively hyperbolic groups
Geometric Topology
2026-04-20 v3 Differential Geometry
Dynamical Systems
Group Theory
Abstract
We prove that divergent, extended geometrically finite (in the sense of Weisman arXiv:2205.07183) representations can be interpreted as restricted Anosov (in the sense of Tholozan--Wang arXiv:2307.02934) representations over certain flow spaces. We also show that the representations of this type are stable under small type preserving deformations. As an example, we show that a representation induced from a geometrically finite one through a Galois covering, constructed in Tholozan--Wang arXiv:2307.02934, is divergent and extended geometrically finite with a non-homeomorphic boundary extension.
Keywords
Cite
@article{arxiv.2309.15636,
title = {Notions of Anosov representation of relatively hyperbolic groups},
author = {Tianqi Wang},
journal= {arXiv preprint arXiv:2309.15636},
year = {2026}
}