Mesures de Hausdorff de l'ensemble limite de groupes kleiniens g\'eom\'etriquement finis
Differential Geometry
2012-08-01 v1
Abstract
We prove here that the Poincar\'e exponent of a geometrically finite group od isometries of the 3-dimensionnal hyperbolic space coincides with the Hausdorff dimension of its limit set. We also compare the natural measures supported by this set: the Patterson measure and the Hausdorff and packing measures corresponding to the standart jauge.
Keywords
Cite
@article{arxiv.1207.7201,
title = {Mesures de Hausdorff de l'ensemble limite de groupes kleiniens g\'eom\'etriquement finis},
author = {Peigné Marc},
journal= {arXiv preprint arXiv:1207.7201},
year = {2012}
}