paper

Some closed hyperbolic 5-manifolds

arXiv:2502.19225

Abstract

We give an explicit construction of a family of closed arithmetic hyperbolic 5-manifolds, tessellated by copies of a Coxeter simplicial prism. We proceed to study various properties of these manifolds, such as the volume and the first Betti number. We also describe a related family of 5-manifolds with a larger volume, but a simpler construction.

22 pages, 3 figures, 2 tables. Fixed typos, updated references

Some closed hyperbolic 5-manifolds · wovepaper