Some closed hyperbolic 5-manifolds
Geometric Topology
2025-03-04 v2
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.
Cite
@article{arxiv.2502.19225,
title = {Some closed hyperbolic 5-manifolds},
author = {Jacopo G. Chen},
journal= {arXiv preprint arXiv:2502.19225},
year = {2025}
}
Comments
22 pages, 3 figures, 2 tables. Fixed typos, updated references