Cheeger constant of convex co-compact hyperbolic 3-manifolds
arXiv:2311.12162
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.
10 pages, Typos corrected. To appear in Mathematical Research Letters