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Matematicheskie Zametki, 2018, Volume 103, Issue 3, paper published in the English version journal (Mi mzm11542)  
Papers published in the English version of the journal

Hyperbolicity for Conservative Diffeomorphisms

A. Zamani Bahabadi

Department of Pure Mathematics, Ferdowsi University of Mashhad, Mashhad, Iran
Abstract: This paper introduces the notion of robust hyperbolicity along periodic orbits homoclinically related to $p$ (RNUHP) for conservative diffeomorphisms. It is proved that if $f \in Diff_m ^{1+} (M)$ is RNUHP, then $f$ is Anosov. It is also shown that $f$ admits a dominated splitting, provided that $f$ is expansive conservative stable.
Keywords: hyperbolicity, homoclinic class, dominated splitting.
Funding agency Grant number
Ferdowsi University of Mashhad 2/44544
This work was supported by a grant from Ferdowsi University of Mashhad (No. 2/44544).
Received: 28.01.2017
Revised: 10.07.2017
English version:
Mathematical Notes, 2018, Volume 103, Issue 3, Pages 490–494
DOI: https://doi.org/10.1134/S000143461803015X
Bibliographic databases:
Document Type: Article
Language: English
Citation: A. Zamani Bahabadi, “Hyperbolicity for Conservative Diffeomorphisms”, Math. Notes, 103:3 (2018), 490–494
Citation in format AMSBIB
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\by A.~Zamani Bahabadi
\paper Hyperbolicity for Conservative Diffeomorphisms
\jour Math. Notes
\yr 2018
\vol 103
\issue 3
\pages 490--494
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\crossref{https://doi.org/10.1134/S000143461803015X}
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