Expansive partially hyperbolic diffeomorphisms with one-dimensional center

2023/07/26 by Martı́n Sambarino, Sambarino, Martín, José Vieitez +1
Mathematics · Physics and Astronomy · #37C70 #37D20 #37D30 #Advanced Differential Equations and Dynamical Systems #Dynamical Systems (math.DS) #FOS: Mathematics #Mathematical Dynamics and Fractals #Quantum chaos and dynamical systems

paper · pdf · doi:10.48550/arxiv.2307.14484

openalex publication_date 2023/07/26 · openalex created_date 2023/07/29 · openalex updated_date 2026/07/28

Abstract

We give sufficient conditions for an expansive partially hyperbolic diffeomorphism with one-dimensional center to be (topologically) Anosov.

Related

• Partially hyperbolic diffeomorphisms with a trapping property
• Partially hyperbolic diffeomorphisms that are center fixing
• Accessibility of derived-from-Anosov systems
• On mostly expanding diffeomorphisms
• On codimension one partially hyperbolic diffeomorphisms