On the plaque topological stability of partially hyperbolic diffeomorphisms
  • Li, L.
  • Morales, C. A.
  • Shin, B.
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초록

We prove that every dynamically coherent plaque expansive partially hyperbolic diffeomorphism is topologically stable with respect to the central foliation (in short, 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 every center chain recurrent point for such diffeomorphisms is accumulated by center periodic points. (c) 2025 Elsevier Inc. All rights are reserved, including those for text and data mining, AI training, and similar technologies.

키워드

Partially hyperbolicClosed manifoldPlaque topologically stableDYNAMICAL COHERENCE
제목
On the plaque topological stability of partially hyperbolic diffeomorphisms
저자
Li, L.Morales, C. A.Shin, B.
DOI
10.1016/j.jmaa.2025.130131
발행일
2026-03-15
유형
Article
저널명
Journal of Mathematical Analysis and Applications
555
2