论文标题

关于阿诺索夫家庭的一些评论

Some Remarks on Anosov Families

论文作者

Acevedo, Jeovanny de Jesus Muentes, Ribeiro, Raquel

论文摘要

我们研究了Anosov家族,这些家族是沿紧凑型riemannian歧管的差异序列,使切线束分为扩展和收缩子空间。在本文中,我们证明了某些类Anosov家族:(i)承认规范坐标(ii)是广泛的,(iii)满足阴影特性,(iv)显示了马尔可夫分区。

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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