Author:
ARBIETO ALEXANDER,CATALAN THIAGO
Abstract
AbstractExtending a result of Mañé, Hayashi proved that every diffeomorphism$f$which has a$C^1$-neighborhood$\mathcal {U}$where all periodic points of any$g\in \mathcal {U}$are hyperbolic is an Axiom A diffeomorphism. Here we prove the analogous result in the volume-preserving scenario.
Publisher
Cambridge University Press (CUP)
Subject
Applied Mathematics,General Mathematics
Cited by
15 articles.
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