Cheeger constant of convex co-compact hyperbolic 3-manifolds
Differential Geometry
2025-07-02 v2 Geometric Topology
Abstract
We study the Cheeger isoperimetric constant as a functional in the space of convex co-compact hyperbolic 3-manifolds which are either quasi-Fuchsian or acylindrical. We prove that the global maximum is attained uniquely at the Fuchsian locus.
Keywords
Cite
@article{arxiv.2311.12162,
title = {Cheeger constant of convex co-compact hyperbolic 3-manifolds},
author = {Franco Vargas Pallete and Celso Viana},
journal= {arXiv preprint arXiv:2311.12162},
year = {2025}
}
Comments
10 pages, Typos corrected. To appear in Mathematical Research Letters