Quasigeodesic Flows in Hyperbolic Three-Manifolds
Geometric Topology
2009-09-25 v1
Abstract
Any closed, oriented, hyperbolic three-manifold with nontrivial second homology has many quasigeodesic flows, where quasigeodesic means that flow lines are uniformly efficient in measuring distance in relative homotopy classes. The flows are pseudo-Anosov flows which are almost transverse to finite depth foliations in the manifold. The main tool is the use of a sutured manifold hierarchy which has good geometric properties.
Cite
@article{arxiv.math/9507216,
title = {Quasigeodesic Flows in Hyperbolic Three-Manifolds},
author = {Sérgio Fenley and Lee Mosher},
journal= {arXiv preprint arXiv:math/9507216},
year = {2009}
}