Preprint A330/2004
Partial Hyperbolicity for Symplectic Diffeomorphisms
Vanderlei Horita | Tahzibi, Ali
Keywords: Stable ergodicity | robust transitivity | Symplectic diffeomorphisms
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.