Non-Divergence of Unipotent Flows on Quotients of Rank One Semisimple Groups

C. Davis Buenger, Cheng Zheng

Let $G$ be a semisimple Lie group of rank $1$ and $\Gamma$ be a torsion free discrete subgroup of $G$. We show that in $G/\Gamma$, given $\epsilon >0$, any trajectory of a unipotent flow remains in…