Bessa, MárioRocha, Jorge2023-05-252023-05-252010M. Bessa, J. Rocha, Three-dimensional conservative star flows are Anosov. Discrete and Continuous Dynamical Systems - A, 26, 3, 839-846, 20101078-0947http://hdl.handle.net/10400.2/13831A divergence-free vector field satisfies the star property if any divergence-free vector field in some C1-neighborhood has all the singularities and all closed orbits hyperbolic. In this article we prove that any divergence- free star vector field defined in a closed three-dimensional manifold is Anosov. Moreover, we prove that a C1-structurally stable three-dimensional conserva- tive flow is Anosov.engDivergence-free vector fieldsAnosov flowsDominated splittingjournal article10.3934/dcds.2010.26.839