Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4604771 | Annales de l'Institut Henri Poincare (C) Non Linear Analysis | 2006 | 21 Pages |
Abstract
We prove that every robustly transitive and every stably ergodic symplectic diffeomorphism on a compact manifold admits a dominated splitting. In fact, these diffeomorphisms are partially hyperbolic.
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