Expansiveness, Shadowing and Markov Partition for Anosov Families

Jeovanny Muentes, Raquel Ribeiro

Published 2020-07-15Version 1

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.