Quasi-isometric center action in dimension 3

2024/11/16 by Espitia, Marcielis, Martinchich, Santiago, Potrie, Rafael
#Dynamical Systems (math.DS) #FOS: Mathematics

paper · doi:10.48550/arxiv.2411.10875

Abstract

We study transitive partially hyperbolic diffeomorphisms in dimension 3 preserving a center foliation on which they act quasi-isometrically. We show that the diffeomorphism is up to finite lift and iterate, either a skew-product or a discretised Anosov flow.

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