Hyperbolicity for Conservative Diffeomorphisms
- Autores: Zamani Bahabadi A.1
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Afiliações:
- Department of Pure Mathematics
- Edição: Volume 103, Nº 3-4 (2018)
- Páginas: 490-494
- Seção: Article
- URL: https://journals.rcsi.science/0001-4346/article/view/150696
- DOI: https://doi.org/10.1134/S000143461803015X
- ID: 150696
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Resumo
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.
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Sobre autores
A. Zamani Bahabadi
Department of Pure Mathematics
Autor responsável pela correspondência
Email: zamany@um.ac.ir
Irã, Mashhad
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