On C-robust transitivity of volume-preserving flows
نویسندگان
چکیده
We prove that a divergence-free and C1-robustly transitive vector field has no singularities. Moreover, if the vector field is C4 then the linear Poincaré flow associated to it admits a dominated splitting over M . MSC 2000: primary 37D30, 37D25; secondary 37A99. keywords: Volume-preserving flows; Robust transitivity; Dominated splitting; Ergodicity.
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