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].

中文翻译：

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3维部分双曲型微分集的集中器

在本说明中，我们描述了保留部分双曲型同构体的体积的中心化器，这些双同型与Seifert纤维和双曲型3流形相同。我们的证明遵循Damjanovic，Wilkinson和Xu [10]的作者最近将扶正器归类为以负曲率表示的测地流的时间-$ 1 $映射的扰动。我们强烈依赖[5，6]。