Stably weakly shadowing symplectomorphisms are partially hyperbolic
classification
🧮 math.DS
keywords
hyperbolicmanifoldpartiallyshadowingweaklyadmitsc1-stablyclosed
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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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