Hyperbolicity for Conservative Diffeomorphisms


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This paper introduces the notion of robust hyperbolicity along periodic orbits homoclinically related to p (RNUHP) for conservative diffeomorphisms. It is proved that if fDiff1+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.

作者简介

A. Zamani Bahabadi

Department of Pure Mathematics

编辑信件的主要联系方式.
Email: zamany@um.ac.ir
伊朗伊斯兰共和国, Mashhad

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