2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/134556We prove that a divergence-free and C1-robustly transitive vector field has no singularities. Moreover, if the vector field is C4 then the linear Poincare flow associated to it admits a dominated splitting over M.Dynamical Systems37D30, 37D25, 37A99.On C1-robust transitivity of volume-preserving flowstext