Hyperbolic 24-Cell 4-Manifolds With One Cusp

In this article, we describe all the hyperbolic 24-cell 4-manifolds with exactly one cusp. There are four of these manifolds up to isometry. These manifolds are the first examples of one-cusped hyperbolic 4-manifolds of minimum volume.

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Published in:Experimental mathematics 2023-04, Vol.32 (2), p.269-279
Main Authors: Ratcliffe, John G., Tschantz, Steven T.
Format: Article
Language:English
Subjects:
24-cell
hyperbolic 4-manifolds
one cusp manifolds
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description In this article, we describe all the hyperbolic 24-cell 4-manifolds with exactly one cusp. There are four of these manifolds up to isometry. These manifolds are the first examples of one-cusped hyperbolic 4-manifolds of minimum volume.
doi_str_mv 10.1080/10586458.2021.1926010
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subjects 24-cell
hyperbolic 4-manifolds
one cusp manifolds
title Hyperbolic 24-Cell 4-Manifolds With One Cusp
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