Non R-covered Anosov flows in hyperbolic 3-manifolds are quasigeodesic
Dynamical Systems
2026-03-02 v2 Geometric Topology
Abstract
The main result is that if an Anosov flow in a closed hyperbolic three manifold is not R-covered, then the flow is a quasigeodesic flow. We also prove that if a hyperbolic three manifold supports an Anosov flow, then up to a double cover it supports a quasigeodesic flow. We prove the continuous extension property for the stable and unstable foliations of any Anosov flow in a closed hyperbolic three manifold, and the existence of group invariant Peano curves associated with any such flow.
Keywords
Cite
@article{arxiv.2210.09238,
title = {Non R-covered Anosov flows in hyperbolic 3-manifolds are quasigeodesic},
author = {Sergio R Fenley},
journal= {arXiv preprint arXiv:2210.09238},
year = {2026}
}
Comments
86 pages, 22 figures