THE LOCAL STAR CONDITION FOR GENERIC TRANSITIVE DIFFEOMORPHISMS
Let $f:M\to M$ be a diffeomorphism on a closed $C^{\infty}$ $d(\geq2)$ 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. KCI Citation Count: 0
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| Veröffentlicht in: | Communications of the Korean Mathematical Society 2016, 31(2), , pp.389-394 |
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| Format: | Artikel |
| Sprache: | eng |
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| Online-Zugang: | Volltext |
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| Zusammenfassung: | Let $f:M\to M$ be a diffeomorphism on a closed $C^{\infty}$ $d(\geq2)$ 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. KCI Citation Count: 0 |
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| ISSN: | 1225-1763 2234-3024 |
| DOI: | 10.4134/CKMS.2016.31.2.389 |