Discreteness Of Hyperbolic Isometries by Test Maps

Krishnendu Gongopadhyay, Abhishek Mukherjee, Devendra Tiwari

Let $\mathbb{F}=\mathbb{R}$, $\mathbb{C}$ or $\mathbb{H}$. Let ${\mathbf{H}}_{\mathbb{F}}^n$ denote the $n$-dimensional $\mathbb{F}$-hyperbolic space. Let $\mathrm{U}(n,1;\mathbb{F})$ be the lin…