We show that if a hyperbolic 3-manifold admits a partially hyperbolic diffeomorphism then it also admits an Anosov flow. Moreover, we give a complete classification of partially hyperbolic diffeomorphisms in hyperbolic 3-manifolds as well as partially hyperbolic diffeomorphisms in Seifert manifolds inducing pseudo-Anosov dynamics in the base. This classification is given in terms of the structure of their center (branching) foliations and the notion of collapsed Anosov flows.

中文翻译：

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部分双曲性和伪阿诺索夫动力学

我们证明，如果双曲 3 流形承认部分双曲微分同胚，那么它也承认阿诺索夫流。此外，我们给出了双曲3-流形中的部分双曲微分同胚以及Seifert流形中的部分双曲微分同胚的完整分类，在基中诱导了伪阿诺索夫动力学。这种分类是根据其中心（分支）叶状结构和塌陷阿诺索夫流的概念给出的。