Dynamical coherence in isotopy classes of fibered lifted partially hyperbolic diffeomorphisms
Dynamical Systems
2023-09-12 v3
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.
Keywords
Cite
@article{arxiv.2302.01951,
title = {Dynamical coherence in isotopy classes of fibered lifted partially hyperbolic diffeomorphisms},
author = {Luis Pedro Piñeyrúa and Martín Sambarino},
journal= {arXiv preprint arXiv:2302.01951},
year = {2023}
}
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