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 (6)

• Geometry of the Complex of Curves I: Hyperbolicity
• Hyperbolic Structures on 3-manifolds, II: Surface groups and 3-manifolds which fiber over the circle
• Minimal stretch maps between hyperbolic surfaces
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• Kleinian groups and the complex of curves
• Tameness on the boundary and Ahlfors' measure conjecture

Cited by in corpus (1)

• Cone-manifolds and the density conjecture