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arXiv · 2607.05232

Bordered hyperbolic manifolds with a fixed perimeter-to-volume ratio

Sami Douba·Franco Vargas Pallete
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Abstract

We exhibit, for any $n \geq 3$, infinitely many pairwise incommensurable complete finite-volume hyperbolic $n$-manifolds, both compact and noncompact, each with nonempty totally geodesic boundary and all sharing the same perimeter-to-volume ratio.

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Sami Douba, Franco Vargas Pallete. 2026-07-06. Bordered hyperbolic manifolds with a fixed perimeter-to-volume ratio. https://arxiv.org/abs/2607.05232

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