$C^1$-stably shadowable conservative diffeomorphisms are Anosov
Bull. Korean Math. Soc. 2013 Vol. 50, No. 5, 1495-1499
Printed September 1, 2013
M\'{a}rio Bessa
Universidade da Beira Interior
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
MSC numbers : 37D20, 37C50
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