Thin surface subgroups of non-uniform arithmetic lattices in ${\mathrm{SO}}^{+}(\mathrm{n},1)$

Sara Edelman-Muñoz, Michael Zshornack

We show that the fundamental groups of all non-compact, arithmetic, hyperbolic, $n$-manifolds for $n\ge 4$ contain thin surface subgroups. As a consequence of the proof of this th…