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arXiv · 2411.10875

Quasi-isometric center action in dimension 3

Marcielis Espitia·Santiago Martinchich·Rafael Potrie
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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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Marcielis Espitia, Santiago Martinchich, Rafael Potrie. 2024-11-16. Quasi-isometric center action in dimension 3. https://arxiv.org/abs/2411.10875

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