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• W2127196610 abstract "Abstract We prove that in a compact manifold of dimension n ≥2, C 1+ α volume-preserving diffeomorphisms that are robustly transitive in the C 1 -topology have a dominated splitting. Also we prove that for three-dimensional compact manifolds, an isolated robustly transitive invariant set for a divergence-free vector field cannot have a singularity. In particular, we prove that robustly transitive divergence-free vector fields in three-dimensional manifolds are Anosov. For this, we prove a ‘pasting’ lemma, which allows us to make perturbations in conservative systems." @default.
• W2127196610 created "2016-06-24" @default.
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• W2127196610 date "2007-10-01" @default.
• W2127196610 modified "2023-09-26" @default.
• W2127196610 title "A pasting lemma and some applications for conservative systems" @default.
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• W2127196610 doi "https://doi.org/10.1017/s014338570700017x" @default.
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