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arxiv: 1112.3466 · v1 · pith:HYTUWMQ5new · submitted 2011-12-15 · 🧮 math.DS

C1-stably shadowable conservative diffeomorphisms are Anosov

classification 🧮 math.DS
keywords anosovc1-stablydiffeomorphismsshadowableconservativenoteobtainedprove
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In this short note we prove that if a symplectomorphism f is C1-stably shadowable, then f is Anosov. The same result is obtained for volume-preserving diffeomorphisms.

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