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arXiv · 2510.05493

On the plaque topological stability of partially hyperbolic diffeomorphisms

L. Li·C. A. Morales·B. Shin
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Abstract

We prove that every dynamically coherent plaque expansive partially hyperbolic diffeomorphism is topologically stable with respect to the central foliation (in short, {\em plaque topologically stable}). Next, we study partially hyperbolic diffeomorphisms that are both expansive and topologically stable with respect to a central foliation. We show that the center chain recurrent set for such diffeomorphisms belongs to the closure of the center periodic points.

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L. Li, C. A. Morales, B. Shin. 2025-10-07. On the plaque topological stability of partially hyperbolic diffeomorphisms. https://arxiv.org/abs/2510.05493

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