paper

An observation concerning uniquely ergodic vector fields on 3-manifolds

arXiv:0811.3983

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.

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An observation concerning uniquely ergodic vector fields on 3-manifolds · wovepaper