On the density of geometrically finite Kleinian groups

Abstract

The density conjecture of Bers, Sullivan and Thurston predicts that each complete hyperbolic 3-manifold M with finitely generated fundamental group is an algebraic limit of geometrically finite hyperbolic 3-manifolds. We prove that the conjecture obtains for each complete hyperbolic 3-manifold with no cusps and incompressible ends.

59 pages, 2 figures

References in corpus (1)

• Tameness on the boundary and Ahlfors' measure conjecture

Cited by in corpus (1)

• Cone-manifolds and the density conjecture