Rank 1 deformations of non-cocompact hyperbolic lattices

Samuel A. Ballas, Julien Paupert, Pierre Will

Let $X$ be a negatively curved symmetric space and $\Gamma$ a non-cocompact lattice in $\mathrm{Isom}(\mathrm{X})$. We show that small, parabolic-preserving deformations of $\Gamma$ into the isometry gro…