• Corpus ID: 231786713

Partial hyperbolicity and pseudo-Anosov dynamics

  title={Partial hyperbolicity and pseudo-Anosov dynamics},
  author={S{\'e}rgio R. Fenley and R. Potrie},
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 diffeomorphism in hyperbolic 3manifolds 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. 
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