Local Stable and Unstable Manifolds for Anosov Families

Published 2 Sep 2017 in math.DS | (1709.00636v2)

Abstract: Anosov families were introduced by A. Fisher and P. Arnoux motivated by generalizing the notion of Anosov diffeomorphism defined on a compact Riemannian manifold. In addition to presenting several properties and examples of Anosov families, in this paper we build local stable and local manifolds for such families.

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Jeovanny de Jesus Muentes Acevedo

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