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Publication
On C1-robust transitivity of volume-preserving flows
Authors
Advisor(s)
Abstract(s)
We prove that a divergence-free and C1-robustly transitive vector field has no singularities. Moreover, if the vector field is smooth enough then the linear Poincaré flow associated to it admits a dominated splitting over M.
Description
Keywords
Volume-preserving flows Robust transitivity Dominated splitting Ergodicity
Citation
M. Bessa, J. Rocha, On C1-robust transitivity of volume-preserving flows, 245, 11, 3127-3143, 2008
Publisher
Elsevier