English

Hyperbolic 24-cell 4-manifolds with one cusp

Geometric Topology 2020-04-17 v1

Abstract

In this paper, we describe all the hyperbolic 24-cell 4-manifolds with exactly one cusp. There are four of these manifolds up to isometry. These manifolds are the first examples of one-cusped hyperbolic 4-manifolds of minimum volume.

Cite

@article{arxiv.2004.07284,
  title  = {Hyperbolic 24-cell 4-manifolds with one cusp},
  author = {John G. Ratcliffe and Steven T. Tschantz},
  journal= {arXiv preprint arXiv:2004.07284},
  year   = {2020}
}
R2 v1 2026-06-23T14:52:48.421Z