C1-STABLY SHADOWABLE CONSERVATIVE DIFFEOMORPHISMS ARE ANOSOV

Title & Authors
C1-STABLY SHADOWABLE CONSERVATIVE DIFFEOMORPHISMS ARE ANOSOV
Bessa, Mario;

Abstract
In this short note we prove that if a symplectomorphism $\small{f}$ is $\small{C^1}$-stably shadowable, then $\small{f}$ is Anosov. The same result is obtained for volume-preserving diffeomorphisms.
Keywords
Language
English
Cited by
1.
STABLE WEAK SHADOWABLE SYMPLECTOMORPHISMS ARE PARTIALLY HYPERBOLIC,;;

대한수학회논문집, 2014. vol.29. 2, pp.285-293
1.
STABLE WEAK SHADOWABLE SYMPLECTOMORPHISMS ARE PARTIALLY HYPERBOLIC, Communications of the Korean Mathematical Society, 2014, 29, 2, 285
2.
Shadowing, expansiveness and specification for C1-conservative systems, Acta Mathematica Scientia, 2015, 35, 3, 583
3.
Symplectic diffeomorphisms with limit shadowing, Asian-European Journal of Mathematics, 2017, 10, 02, 1750068
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