Quasigeodesic flows and M\"obius-like groups
Geometric Topology
2014-08-08 v1 Dynamical Systems
Group Theory
Abstract
If M is a hyperbolic 3-manifold with a quasigeodesic flow then we show that \pi_1(M) acts in a natural way on a closed disc by homeomorphisms. Consequently, such a flow either has a closed orbit or the action on the boundary circle is M\"obius-like but not conjugate into PSL(2, R). We conjecture that the latter possibility cannot occur.
Cite
@article{arxiv.1112.3772,
title = {Quasigeodesic flows and M\"obius-like groups},
author = {Steven Frankel},
journal= {arXiv preprint arXiv:1112.3772},
year = {2014}
}
Comments
22 pages, 5 figures