Laminar free hyperbolic 3-manifolds
| dc.creator | Fenley, Sergio R. | |
| dc.date | 2002-10-31 | |
| dc.date.accessioned | 2026-07-07T04:52:32Z | |
| dc.date.available | 2026-07-07T04:52:32Z | |
| dc.description | 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. | |
| dc.identifier | https://arxiv.org/abs/math/0210482 | |
| dc.identifier | http://arxiv.org/abs/math/0210482 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/65497 | |
| dc.subject | Geometric Topology | |
| dc.subject | 20E08, 20F65, 57M50, 57M60 (primary) 37R85, 57R30 (secondary) | |
| dc.title | Laminar free hyperbolic 3-manifolds | |
| dc.type | text |