2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/180063This 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.Geometric TopologyDifferential Geometry57R17; 57R57An observation concerning uniquely ergodic vector fields on 3-manifoldstext