paper

Quasi-isometric center action in dimension 3

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.

13 pages, 2 figures

Quasi-isometric center action in dimension 3 · wovepaper