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arXiv · 2502.19225

Some closed hyperbolic 5-manifolds

Jacopo G. Chen
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Abstract

We give an explicit construction of a family of closed arithmetic hyperbolic 5-manifolds, tessellated by $117 964 800 = 512 \cdot 16 \cdot 14400$ 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.

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Jacopo G. Chen. 2025-02-26. Some closed hyperbolic 5-manifolds. https://arxiv.org/abs/2502.19225

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