Hyperbolic 24-Cell 4-Manifolds With One Cusp

Abstract

In this article, 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.

Keywords:

• hyperbolic 4-manifolds
• 24-cell
• one cusp manifolds

Acknowledgments

We thank the referees for their comments and suggestions, which have greatly improved the exposition of this article.

Declaration interest

No potential conflict of interest was reported by the author(s).