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Centralizers of partially hyperbolic diffeomorphisms in dimension 3

  • * Corresponding author: Andrey Gogolev

    * Corresponding author: Andrey Gogolev

The first author was partially supported by the NSERC (Funding reference number RGPIN-2017-04592). The second author was partially supported by NSF DMS-1823150

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  • 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 [10] 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 [5,6].

    Mathematics Subject Classification: Primary: 37D30.


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