Arithmeticity of hyperbolic 3-manifolds containing infinitely many totally geodesic surfaces
Geometric Topology
2019-09-04 v2 Dynamical Systems
Group Theory
Abstract
We prove that if a closed hyperbolic 3-manifold M contains infinitely many totally geodesic surfaces, then M is arithmetic.
Cite
@article{arxiv.1902.07267,
title = {Arithmeticity of hyperbolic 3-manifolds containing infinitely many totally geodesic surfaces},
author = {Gregory Margulis and Amir Mohammadi},
journal= {arXiv preprint arXiv:1902.07267},
year = {2019}
}
Comments
This is a more detailed version of arXiv:1902.07267v1