Discrete subgroups of small critical exponent

Published 27 Aug 2020 in math.DG, math.GR, and math.GT | (2008.12365v2)

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.

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