Convergence of freely decomposable Kleinian groups

Details Convergence of freely decomposable Kleinian groups Convergence of freely decomposable Kleinian groups

2007-08-24

arxiv.org/abs/0708.3266v2

Mathematics

Geometric Topology

Version 2: revised to make it more readable

Scientific paper

We consider a compact orientable hyperbolic 3-manifold with a compressible boundary. Suppose that we are given a sequence of geometrically finite hyperbolic metrics whose conformal boundary structures at infinity diverge to a projective lamination. We prove that if this limit projective lamination is doubly incompressible, then the sequence has compact closure in the deformation space. As a consequence we generalise Thurston's double limit theorem and solve his conjecture on convergence of function groups affirmatively.

Affiliated with

Also associated with

No associations

Rating

Convergence of freely decomposable Kleinian groups does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Convergence of freely decomposable Kleinian groups, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Convergence of freely decomposable Kleinian groups will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-394842