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http://dx.doi.org/10.4134/BKMS.2013.50.5.1495

C1-STABLY SHADOWABLE CONSERVATIVE DIFFEOMORPHISMS ARE ANOSOV  

Bessa, Mario (Universidade da Beira Interior)
Publication Information
Bulletin of the Korean Mathematical Society / v.50, no.5, 2013 , pp. 1495-1499 More about this Journal
Abstract
In this short note we prove that if a symplectomorphism $f$ is $C^1$-stably shadowable, then $f$ is Anosov. The same result is obtained for volume-preserving diffeomorphisms.
Keywords
Anosov maps; shadowing; uniform hyperbolicity;
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