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http://dx.doi.org/10.4134/CKMS.2016.31.2.389

THE LOCAL STAR CONDITION FOR GENERIC TRANSITIVE DIFFEOMORPHISMS  

Lee, Manseob (Department of Mathematics Mokwon University)
Publication Information
Communications of the Korean Mathematical Society / v.31, no.2, 2016 , pp. 389-394 More about this Journal
Abstract
Let $f:M{\rightarrow}M$ be a diffeomorphism on a closed $C^{\infty}\;d({\geq}2)$ dimensional manifold M. For $C^1$-generic f, if a diffeomorphism f satisfies the local star condition on a transitive set, then it is hyperbolic.
Keywords
transitive set; star diffeomorphisms; local star diffeomorphisms; hyperbolic;
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Times Cited By KSCI : 1  (Citation Analysis)
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