Email this article On the Hyperbolicity of Toral Endomorphisms
- Authors: Kolesov A.Y.1, Rozov N.K.2, Sadovnichii V.A.2
-
Affiliations:
- Demidov Yaroslavl State University
- Lomonosov Moscow State University
- Issue: Vol 105, No 1-2 (2019)
- Pages: 236-250
- Section: Article
- URL: https://ogarev-online.ru/0001-4346/article/view/151559
- DOI: https://doi.org/10.1134/S0001434619010267
- ID: 151559
Cite item
Open Access
Access granted
Subscription Access
Abstract
Nonsingular endomorphisms of the m-torus \(\mathbb{T}\)m, m ≥ 2, which are C1 perturbations of linear hyperbolic endomorphisms are considered. Sufficient conditions for such maps to be hyperbolic (i.e., belong to the class of Anosov endomorphisms) are found.
Keywords
About the authors
A. Yu. Kolesov
Demidov Yaroslavl State University
Author for correspondence.
Email: kolesov@uniyar.ac.ru
Russian Federation, Yaroslavl, 150000
N. Kh. Rozov
Lomonosov Moscow State University
Author for correspondence.
Email: fpo.mgu@mail.ru
Russian Federation, Moscow, 119991
V. A. Sadovnichii
Lomonosov Moscow State University
Author for correspondence.
Email: info@rector.msu.ru
Russian Federation, Moscow, 119991
Supplementary files
