Arithmeticity and geometrical commensurators
Geometric Topology
2024-12-11 v1
Abstract
This paper aims to characterize rank-one arithmetic and locally symmetric metrics in the coarsely geometric setting using coarse-geometric commensurators. We provide a positive answer in general under the Hilbert-Smith conjecture and unconditionally for finite volume negatively curved manifolds with finitely many cusps.
Cite
@article{arxiv.2412.07614,
title = {Arithmeticity and geometrical commensurators},
author = {Yanlong Hao},
journal= {arXiv preprint arXiv:2412.07614},
year = {2024}
}