An observation concerning uniquely ergodic vector fields on 3-manifolds
Geometric Topology
2008-11-26 v1 Differential Geometry
Abstract
This paper proves the following: A volume preserving vector field on a compact 3-manifold whose dual 2-form is exact can not generate uniquely ergodic dynamics unless its asymptotic linking number is zero.
Keywords
Cite
@article{arxiv.0811.3983,
title = {An observation concerning uniquely ergodic vector fields on 3-manifolds},
author = {Clifford Henry Taubes},
journal= {arXiv preprint arXiv:0811.3983},
year = {2008}
}