Partial Hyperbolicity for Symplectic Diffeomorphisms
classification
🧮 math.DS
keywords
diffeomorphismseverysymplecticadmitscompactdiffeomorphismdominatedergodic
read the original 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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