On C1-robust transitivity of volume-preserving flows
Dynamical Systems
2007-07-18 v1
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.
Cite
@article{arxiv.0707.2554,
title = {On C1-robust transitivity of volume-preserving flows},
author = {M. Bessa and J. Rocha},
journal= {arXiv preprint arXiv:0707.2554},
year = {2007}
}