Email this article Hyperbolicity for Conservative Diffeomorphisms
- Authors: Zamani Bahabadi A.1
-
Affiliations:
- Department of Pure Mathematics
- Issue: Vol 103, No 3-4 (2018)
- Pages: 490-494
- Section: Article
- URL: https://journal-vniispk.ru/0001-4346/article/view/150696
- DOI: https://doi.org/10.1134/S000143461803015X
- ID: 150696
Cite item
Open Access
Access granted
Subscription Access
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 ∈ 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.
Keywords
About the authors
A. Zamani Bahabadi
Department of Pure Mathematics
Author for correspondence.
Email: zamany@um.ac.ir
Iran, Islamic Republic of, Mashhad
Supplementary files
