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.
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Russian Text © A. Yu. Kolesov, N. Kh. Rozov, V. A. Sadovnichii, 2019, published in Matematicheskie Zametki, 2019, Vol. 105, No. 2, pp. 251–268.
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Kolesov, A.Y., Rozov, N.K. & Sadovnichii, V.A. On the Hyperbolicity of Toral Endomorphisms. Math Notes 105, 236–250 (2019). https://doi.org/10.1134/S0001434619010267
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DOI: https://doi.org/10.1134/S0001434619010267