Kleinian groups of small Hausdorff dimension are classical Schottky groups

Details Kleinian groups of small Hausdorff dimension are classical Schottky groups Kleinian groups of small Hausdorff dimension are classical Schottky groups

2006-10-15

arxiv.org/abs/math/0610458v3

Mathematics

Geometric Topology

Scientific paper

In this paper we prove that there exists a positive number $\lambda>0$, such
that any 2-generated Kleinian groups with limit set of Hausdorff dimension
$<\lambda$ are classical Schottky groups.

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