On the limit set of a geometrically infinite Kleinian group

Abstract

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

This paper has been withdrawn by the authors due to a gap in the proof of the first Theorem.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

References in corpus (1)

• Tameness of hyperbolic 3-manifolds