2019/11/13 by Barthelmé, Thomas, Gogolev, Andrey
#Dynamical Systems (math.DS) #FOS: Mathematics
paper · doi:10.48550/arxiv.1911.05532
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).