Parabolic-preserving deformations of cusped hyperbolic lattices

Samuel A. Ballas, Julien Paupert, Pierre Will

We study deformations of non-cocompact lattices of $\mathrm{SO}(n,1)$ into $\mathrm{SU}(n,1)$ and $\mathrm{SO}(n+1,1)$. A necessary condition for these deformations to remain discrete and f…