Analysis reveals new closed hyperbolic 5-manifolds with specific volume and Betti number properties, suggesting further exploration.
We give an explicit construction of a family of closed arithmetic hyperbolic 5-manifolds, tessellated by 117 964 800 = 512 · 16 · 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) studied this question.
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