On C1-robust transitivity of volume-preserving flows

Bessa, MárioRocha, Jorge2023-05-252023-05-252008M. Bessa, J. Rocha, On C1-robust transitivity of volume-preserving flows, 245, 11, 3127-3143, 20080022-0396http://hdl.handle.net/10400.2/13839We prove that a divergence-free and C1-robustly transitive vector field has no singularities. Moreover, if the vector field is smooth enough then the linear Poincaré flow associated to it admits a dominated splitting over M.engVolume-preserving flowsRobust transitivityDominated splittingErgodicityOn C1-robust transitivity of volume-preserving flowsjournal article10.1016/j.jde.2008.02.045