纤维提升的部分双曲差分同位类中的动态一致性

IF 1 3区数学 Q1 MATHEMATICS

Mathematische Zeitschrift Pub Date : 2024-06-21 DOI:10.1007/s00209-024-03535-3

Luis Pedro Piñeyrúa, Martín Sambarino

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引用次数: 0

摘要

我们引入了纤维化提升的部分双曲差分形的概念，并证明了任何与纤维化提升的部分双曲差分形同构的部分双曲差分形（同构发生在部分双曲系统内部）都是动态相干的。此外，我们还证明了一些全局稳定性结果：在纤维化提升的部分双曲差分的同一连通分量中，每两个部分双曲差分都是叶共轭的。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

Dynamical coherence in isotopy classes of fibered lifted partially hyperbolic diffeomorphisms

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Dynamical coherence in isotopy classes of fibered lifted partially hyperbolic diffeomorphisms

We introduce the notion of fibered lifted partially hyperbolic diffeomorphisms and we prove that any partially hyperbolic diffeomorphism isotopic to a fibered lifted one where the isotopy take place inside partially hyperbolic systems is dynamically coherent. Moreover we prove some global stability result: every two partially hyperbolic diffeomorphisms in the same connected component of a fibered lifted partially hyperbolic diffeomorphisms are leaf conjugate.

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