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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 hyperbolic; Closed manifold; Plaque topologically stable; DYNAMICAL COHERENCE
- 제목
- On the plaque topological stability of partially hyperbolic diffeomorphisms
- 저자
- Li, L.; Morales, C. A.; Shin, B.
- 발행일
- 2026-03-15
- 유형
- Article
- 권
- 555
- 호
- 2