3 citations · 4 across the 21 of their papers we have counts for
5 papers · 2 filters
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.