Cheeger constant of convex co-compact hyperbolic 3-manifolds

Franco Vargas Pallete; Celso Viana

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arXiv · 2311.12162

Cheeger constant of convex co-compact hyperbolic 3-manifolds

Franco Vargas Pallete·Celso Viana

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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.

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Franco Vargas Pallete, Celso Viana. 2023-11-20. Cheeger constant of convex co-compact hyperbolic 3-manifolds. https://arxiv.org/abs/2311.12162

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