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 $C^1$-stably shadowable conservative diffeomorphisms are Anosov Bull. Korean Math. Soc. 2013 Vol. 50, No. 5, 1495-1499 https://doi.org/10.4134/BKMS.2013.50.5.1495Printed 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 Downloads: Full-text PDF