Discrete subgroups of small critical exponent
arXiv:2008.12365 · doi:10.2140/gt.2023.27.2347
Abstract
We prove that finitely generated higher dimensional Kleinian groups with small critical exponent are always convex-cocompact. Along the way, we also prove some geometric properties for any complete pinched negatively curved manifold with critical exponent less than 1.
arXiv commentThis version is accepted for publication in G&T. We added more details in the proofs of Corollary 1.6, Lemma 3.5 and Theorem 3.7. We also improved the exposition