Partially hyperbolic diffeomorphisms that are center fixing

2024/02/21 by Martinchich, Santiago
#Dynamical Systems (math.DS) #FOS: Mathematics #Geometric Topology (math.GT)

paper · doi:10.48550/arxiv.2402.13849

Abstract

We show that every transitive dynamically coherent partially hyperbolic diffeomorphism with a one-dimensional center foliation \W^c satisfying that f(W)=W for every leaf W∈ \W^c is a discretized Anosov flow.

Related

• Global stability of discretized Anosov flows
• Quasi-isometric center action in dimension 3
• Invariance principle and non-compact center foliations
• Partially hyperbolic diffeomorphisms homotopic to the identity in dimension 3, Part I: The dynamically coherent case
• Expansive partially hyperbolic diffeomorphisms with one-dimensional center