Hyperbolicity for Conservative Diffeomorphisms

This paper introduces the notion of robust hyperbolicity along periodic orbits homoclinically related to p (RNUHP) for conservative diffeomorphisms. It is proved that if f ∈ Diff 1+ m ( M ) is RNUHP, then f is Anosov. It is also shown that f admits a dominated splitting, provided that f is expansive...

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Veröffentlicht in:	Mathematical Notes 2018-03, Vol.103 (3-4), p.490-494
1. Verfasser:	Zamani Bahabadi, A.
Format:	Artikel
Sprache:	eng
Schlagworte:	Mathematics Mathematics and Statistics
Online-Zugang:	Volltext
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Zusammenfassung:	This paper introduces the notion of robust hyperbolicity along periodic orbits homoclinically related to p (RNUHP) for conservative diffeomorphisms. It is proved that if f ∈ Diff 1+ m ( M ) is RNUHP, then f is Anosov. It is also shown that f admits a dominated splitting, provided that f is expansive conservative stable.
ISSN:	0001-4346 1067-9073 1573-8876
DOI:	10.1134/S000143461803015X