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arXiv · 2302.01951

Dynamical coherence in isotopy classes of fibered lifted partially hyperbolic diffeomorphisms

Luis Pedro Piñeyrúa·Martín Sambarino
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Abstract

We introduce the notion of \textit{fibered lifted partially hyperbolic diffeomorphisms} and we prove that any partially hyperbolic diifeomorphism isotopic to a fibered lifted one where the isotopy take place inside partially hyperbolic systems is \textit{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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Luis Pedro Piñeyrúa, Martín Sambarino. 2023-02-03. Dynamical coherence in isotopy classes of fibered lifted partially hyperbolic diffeomorphisms. https://arxiv.org/abs/2302.01951

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