On C1-robust transitivity of volume-preserving flows
classification
🧮 math.DS
keywords
fieldvectoradmitsassociatedc1-robustc1-robustlydivergence-freedominated
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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 Poincare flow associated to it admits a dominated splitting over M.
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