Strong spectral gap for geometrically finite hyperbolic manifolds

Dubi Kelmer, Osama Khalil, Pratyush Sarkar

Let $\Gamma <G:=\mathrm{SO}(d+1,1)$ for $d\ge 1$ be a Zariski dense, geometrically finite, discrete subgroup with critical exponent strictly greater than $d/2$. We show that…