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arXiv · 2309.16051

Systoles of hyperbolic hybrids

Sami Douba
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Abstract

We exhibit closed hyperbolic manifolds with arbitrarily small systole in each dimension that are not quasi-arithmetic in the sense of Vinberg, and are thus not commensurable to those constructed by Agol, Belolipetsky--Thomson, and Bergeron--Haglund--Wise. This is done by taking hybrids of the manifolds constructed by the latter authors.

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Sami Douba. 2023-09-27. Systoles of hyperbolic hybrids. https://doi.org/10.2140/tunis.2025.7.193

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