Hausdorff dimension of non-conical limit sets
Group Theory
2019-09-23 v1 Differential Geometry
Geometric Topology
Abstract
Geometrically infinite Kleinain groups have nonconical limit sets with the cardinality of the continuum. In this paper, we construct a geometrically infinite Fuchsian group such that the Hausdorff dimension of the nonconical limit set equals zero. For finitely generated, geometrically infinite Kleinian groups, we prove that the Hausdorff dimension of the nonconical limit set is positive.
Keywords
Cite
@article{arxiv.1909.09187,
title = {Hausdorff dimension of non-conical limit sets},
author = {Michael Kapovich and Beibei Liu},
journal= {arXiv preprint arXiv:1909.09187},
year = {2019}
}
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16 pages