Partial Hyperbolicity for Symplectic Diffeomorphisms

Details Partial Hyperbolicity for Symplectic Diffeomorphisms Partial Hyperbolicity for Symplectic Diffeomorphisms

2004-12-03

arxiv.org/abs/math/0412072v1

Mathematics

Dynamical Systems

29 pages, 1 figure

Scientific paper

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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