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arXiv · 0707.2554

On C1-robust transitivity of volume-preserving flows

M. Bessa·J. Rocha
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Abstract

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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M. Bessa, J. Rocha. 2007-07-17. On C1-robust transitivity of volume-preserving flows. https://arxiv.org/abs/0707.2554

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