3 citations · 4 across the 21 of their papers we have counts for
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Systoles of hyperbolic hybrids
Sami Douba
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 tho…
Cubulated hyperbolic groups admit Anosov representations
Sami Douba, Balthazar Fléchelles, Theodore Weisman +1
We prove that any hyperbolic group acting properly discontinuously and cocompactly on a cube complex admits a projective Anosov representation into $\mathrm{SL}(d…
Infinitely many commensurability classes of compact Coxeter polyhedra in and
Nikolay Bogachev, Sami Douba, Jean Raimbault
We prove that certain families of compact Coxeter polyhedra in 4- and 5-dimensional hyperbolic space constructed by Makarov give rise to infinitely many commensurability classes of…
On regular subgroups of
Sami Douba, Konstantinos Tsouvalas
Motivated by a question of M. Kapovich, we show that the subgroups of that are regular in the language of Kapovich--Leeb--Porti, or diver…
A novel witness to incoherence of
Sami Douba
Motivated by a question of Stover, we discuss an example of a Zariski-dense finitely generated subgroup of that is not finitely presented.
Geometric and arithmetic properties of Löbell polyhedra
Nikolay Bogachev, Sami Douba
The Löbell polyhedra form an infinite family of compact right-angled hyperbolic polyhedra in dimension . We observe, through both elementary and more conceptual means, that the…