2 problems

Let $G$ be a Lie group, $\Gamma$ a lattice, $A$ a subgroup acting on $G/\Gamma$, and let $K\subseteq K_1\subset G/\Gamma$ be compact sets. For a trajectory $Ak$ with $k\in K$, say…

Let $G$ be a connected Lie group, let $\Gamma$ be a lattice in $G$, and let $F=\{f_t:t\in\mathbb{R}\}$ be a one-parameter subgroup of $G$. Write $F^+=\{f_t:t\geq 0\}$ and let … Her…