Leafwise Quasigeodesic Foliation in Dimension Three and the Funnel Property
Geometric Topology
2021-05-13 v1 Dynamical Systems
Abstract
We construct one dimensional foliations which are subfoliations of two dimensional foliations in 3-manifolds. The subfoliation is by quasigeodesics in each two dimensional leaf, but it is not funnel: not all quasigeodesics share a common ideal point in most leaves. This article answers the question whether the funnel property is a consequence of the leafwise quasigeodesic property or not.
Cite
@article{arxiv.2105.05430,
title = {Leafwise Quasigeodesic Foliation in Dimension Three and the Funnel Property},
author = {Anindya Chanda and Sergio Fenley},
journal= {arXiv preprint arXiv:2105.05430},
year = {2021}
}
Comments
22 pages, 4 figures