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

Sami Douba; Franco Vargas Pallete

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

Geometric Topology 2026-07-06 v1

Authors: Sami Douba , Franco Vargas Pallete

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.

Cite

@article{arxiv.2607.05232,
  title  = {Bordered hyperbolic manifolds with a fixed perimeter-to-volume ratio},
  author = {Sami Douba and Franco Vargas Pallete},
  journal= {arXiv preprint arXiv:2607.05232},
  year   = {2026}
}

Comments

6 pages, 1 figure. Comments welcome