Equidistribution of expanding translates of curves in homogeneous spaces with the action of $(\mathrm{SO}(n,1){)}^k$

Lei Yang

Given a homogeneous space $X=G/\Gamma$ with $G$ containing the group $H=(\mathrm{SO}(n,1){)}^k$. Let $x\in X$ such that $Hx$ is dense in $X$. Given an analytic curve $ϕ: I=[a,b] \righ…