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arXiv · 1911.05532

Centralizers of partially hyperbolic diffeomorphisms in dimension 3

Thomas Barthelmé·Andrey Gogolev
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Abstract

In this note we describe centralizers of volume preserving partially hyperbolic diffeomorphisms which are homotopic to identity on Seifert fibered and hyperbolic 3-manifolds. Our proof follows the strategy of Damjanovic, Wilkinson and Xu (arXiv:1902.05201) who recently classified the centralizer for perturbations of time-$1$ maps of geodesic flows in negative curvature. We strongly rely on recent classification results in dimension 3 established in (arXiv:1908.06227).

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Thomas Barthelmé, Andrey Gogolev. 2019-11-13. Centralizers of partially hyperbolic diffeomorphisms in dimension 3. https://arxiv.org/abs/1911.05532

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