Stably weakly shadowing symplectomorphisms are partially hyperbolic

Details Stably weakly shadowing symplectomorphisms are partially hyperbolic Stably weakly shadowing symplectomorphisms are partially hyperbolic

2012-03-22

arxiv.org/abs/1203.5139v1

Mathematics

Dynamical Systems

9 pages

Scientific paper

Let M be a closed, symplectic connected Riemannian manifold, f a
symplectomorphism on M. We prove that if f is C1-stably weakly shadowing on M,
then the whole manifold M admits a partially hyperbolic splitting.

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