\(C^1\)-stably shadowable conservative diffeomorphisms are Anosov (Q2872988)
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scientific article; zbMATH DE number 6247096
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | \(C^1\)-stably shadowable conservative diffeomorphisms are Anosov |
scientific article; zbMATH DE number 6247096 |
Statements
17 January 2014
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Anosov maps
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volume preserving maps
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shadowing
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uniform hyperbolicity
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0.93266404
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0.9079641
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0.9079132
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0.89508975
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0.89282244
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0.89015675
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\(C^1\)-stably shadowable conservative diffeomorphisms are Anosov (English)
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The author proves that if a symplectomorphism defined in a symplectic manifold \(M\) is \(C^1\)-stably shadowable, then it is Anosov.NEWLINENEWLINEAn outline of the proof of an analogous result for volume preserving diffeomorphisms is also given.
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