Geodesic
New hyperbolic 4–manifolds of low volume
Riolo, Stefano1 ; Slavich, Leone2
1 Institut de mathématiques, University of Neuchâtel, Neuchâtel, Switzerland
2 Department of Mathematics, University of Pisa, Pisa, Italy
Algebraic and Geometric Topology, Tome 19 (2019) no. 5, pp. 2653-2676

Voir la notice de l'article provenant de la source Mathematical Sciences Publishers

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 nonarithmetic hyperbolic 4–manifold.

DOI : 10.2140/agt.2019.19.2653
Classification : 57M50, 57N16
Keywords: hyperbolic $4$–manifold, minimal-volume hyperbolic manifolds

Riolo, Stefano 1 ; Slavich, Leone 2

1 Institut de mathématiques, University of Neuchâtel, Neuchâtel, Switzerland
2 Department of Mathematics, University of Pisa, Pisa, Italy 
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Riolo, Stefano; Slavich, Leone. New hyperbolic 4–manifolds of low volume. Algebraic and Geometric Topology, Tome 19 (2019) no. 5, pp. 2653-2676. doi: 10.2140/agt.2019.19.2653

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