Laminar free hyperbolic 3-manifolds

Details Laminar free hyperbolic 3-manifolds Laminar free hyperbolic 3-manifolds

2002-10-31

arxiv.org/abs/math/0210482v1

Mathematics

Geometric Topology

Scientific paper

We analyse the existence question for essential laminations in 3-manifolds. The purpose is to prove that there are infinitely many closed hyperbolic 3-manifolds which do not admit essential laminations. This answers in the negative a question posed by Gabai and Oertel. The proof is obtained by analysing certain group actions on trees and showing that certain 3-manifold groups only have trivial actions on trees. In general the trees are neither simplicial nor metric. There are corollaries concerning the existence question for Reebless foliations and pseudo-Anosov flows.

Affiliated with

Also associated with

No associations

Rating

Laminar free hyperbolic 3-manifolds 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 Laminar free hyperbolic 3-manifolds, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Laminar free hyperbolic 3-manifolds will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-578447