English

On the limit set of a geometrically infinite Kleinian group

Geometric Topology 2013-04-29 v4

Abstract

For a torsion free Kleinian group Γ\Gamma without parabolics, we consider the decomposition of the limit set L(Γ)L(\Gamma) into conical and ending limit sets and compare the Patterson-Sullivan measure with the harmonic measure on L(Γ)L(\Gamma) when L(Γ)=S2L(\Gamma)=S^2_\infty.

Keywords

Cite

@article{arxiv.1209.3919,
  title  = {On the limit set of a geometrically infinite Kleinian group},
  author = {Woojin Jeon},
  journal= {arXiv preprint arXiv:1209.3919},
  year   = {2013}
}

Comments

This paper has been withdrawn by the authors due to a gap in the proof of the first Theorem. Modified version will be given later