Partial hyperbolicity and pseudo-Anosov dynamics
| Autor: | Fenley, Sergio R., Potrie, Rafael |
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| Rok vydání: | 2021 |
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| Druh dokumentu: | Working Paper |
| Popis: | 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 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. Comment: 66 pages, 9 figures. Some changes to take into accounts suggestions by a referee. To appear in GAFA |
| Databáze: | arXiv |
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