We prove that there are at least two commensurability classes of (cusped, arithmetic) minimal-volume hyperbolic 4–manifolds. Moreover, by applying a well-known technique due to Gromov and Piatetski-Shapiro, we build the smallest known non- arithmetic hyperbolic 4–manifold.
New hyperbolic 4–manifolds of low volume
Riolo, Stefano;Slavich, Leone
2019-01-01
Abstract
We prove that there are at least two commensurability classes of (cusped, arithmetic) minimal-volume hyperbolic 4–manifolds. Moreover, by applying a well-known technique due to Gromov and Piatetski-Shapiro, we build the smallest known non- arithmetic hyperbolic 4–manifold.File in questo prodotto:
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