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.

Anexos:

• symplectic-nov3.ps