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arXiv · 2007.07424

Some Remarks on Anosov Families

Jeovanny de Jesus Muentes Acevedo·Raquel Ribeiro
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Abstract

We study Anosov families which are sequences of diffeomorphisms along compact Riemannian manifolds such that the tangent bundle split into expanding and contracting subspaces. In this paper we prove that a certain class of Anosov families: (i) admit canonical coordinates (ii) are expansive, (iii) satisfy the shadowing property, and (iv) exhibit a Markov partition.

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Jeovanny de Jesus Muentes Acevedo, Raquel Ribeiro. 2020-07-15. Some Remarks on Anosov Families. https://arxiv.org/abs/2007.07424

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