Relativizing characterizations of Anosov subgroups, I
Group Theory
2023-01-12 v2 Differential Geometry
Geometric Topology
Abstract
We propose several common extensions of the classes of Anosov subgroups and geometrically finite Kleinian groups among discrete subgroups of semisimple Lie groups. We relativize various dynamical and coarse geometric characterizations of Anosov subgroups given in our earlier work, extending the class from intrinsically hyperbolic to relatively hyperbolic subgroups. We prove implications and equivalences between the various relativizations.
Cite
@article{arxiv.1807.00160,
title = {Relativizing characterizations of Anosov subgroups, I},
author = {Michael Kapovich and Bernhard Leeb},
journal= {arXiv preprint arXiv:1807.00160},
year = {2023}
}
Comments
60 pages, 1 figure, with an appendix by Grisha Soifer