Hyperbolicity for Conservative Diffeomorphisms
- 作者: Zamani Bahabadi A.1
-
隶属关系:
- Department of Pure Mathematics
- 期: 卷 103, 编号 3-4 (2018)
- 页面: 490-494
- 栏目: Article
- URL: https://journals.rcsi.science/0001-4346/article/view/150696
- DOI: https://doi.org/10.1134/S000143461803015X
- ID: 150696
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详细
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 ∈ Diff1+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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