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Matematicheskie Zametki, 2019, Volume 105, Issue 2, Pages 251–268
DOI: https://doi.org/10.4213/mzm11847 (Mi mzm11847) 		 
This article is cited in 7 scientific papers (total in 7 papers)

On the Hyperbolicity of Toral Endomorphisms

A. Yu. Kolesova, N. Kh. Rozovb, V. A. Sadovnichiib

a P.G. Demidov Yaroslavl State University
b Lomonosov Moscow State University
Full-text PDF (592 kB) Citations (7)
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DOI: https://doi.org/10.4213/mzm11847
Abstract: Nonsingular endomorphisms of the $m$-torus $\mathbb T^m$, $m\ge 2$, which are $C^1$ 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: endomorphism, hyperbolicity, torus, Anosov endomorphism.
Funding agency Grant number
Russian Foundation for Basic Research 18-29-10055-мк
This work was supported by the Russian Foundation for Basic Research under grant 18-29-10055-mk.
Received: 01.11.2017
Revised: 05.03.2018
English version:
Mathematical Notes, 2019, Volume 105, Issue 2, Pages 236–250
DOI: https://doi.org/10.1134/S0001434619010267
Bibliographic databases:
Document Type: Article
UDC: 517.926
Language: Russian
Citation: A. Yu. Kolesov, N. Kh. Rozov, V. A. Sadovnichii, “On the Hyperbolicity of Toral Endomorphisms”, Mat. Zametki, 105:2 (2019), 251–268; Math. Notes, 105:2 (2019), 236–250
Citation in format AMSBIB
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    • This publication is cited in the following 7 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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