Bounded Geodesics on Locally Symmetric Spaces

Lifan Guan, Chengyang Wu

Let $\Gamma$ be a torsion-free subgroup of $S{L}_3(R)$ commensurable with $S{L}_3(Z)$, and $Y=S{O}_3(R)\backslash S{L}_3(R)/\Gamma$ be endowed with the natural locally symmetric space structure. We…