On C1-robust transitivity of volume-preserving flows

Details On C1-robust transitivity of volume-preserving flows On C1-robust transitivity of volume-preserving flows

2007-07-17

arxiv.org/abs/0707.2554v1

Mathematics

Dynamical Systems

Scientific paper

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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