Bessa, MárioRocha, Jorge2023-05-292023-05-292011M. Bessa, J. Rocha, Denseness of ergodicity for a class of volume-preserving flows, Portugaliae Mathematica, 68, 1, 1–17, 2011http://hdl.handle.net/10400.2/13881We consider the class of C1 partially hyperbolic volume-preserving flows with one-dimensional central direction endowed with the C 1 -Whitney topology. We prove that, within this class, any flow can be approximated by an ergodic C2 volume-preserving flow and so, as a consequence, ergodicity is dense.engDominated splittingPartial hyperbolicityVolume-preserving flowsLyapunov exponentsStable ergodicityjournal article10.4171/PM/1878