An observation concerning uniquely ergodic vector fields on 3-manifolds

Details An observation concerning uniquely ergodic vector fields on 3-manifolds An observation concerning uniquely ergodic vector fields on 3-manifolds

2008-11-24

arxiv.org/abs/0811.3983v1

Mathematics

Geometric Topology

Scientific paper

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.

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