Título:
Dynamical incoherence for a large class of partially hyperbolic diffeomorphisms
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Autor:
Barthelmé, Thomas
Fenley, Sergio
Frankel, Steven
Potrie Altieri, Rafael
Fenley, Sergio
Frankel, Steven
Potrie Altieri, Rafael
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Tipo de documento:
Preprint
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Palabras clave:
Partial hyperbolicity
3-manifold topology
Foliations
Classification
3-manifold topology
Foliations
Classification
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Año de publicación:
2020
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Resumen:
We show that if a partially hyperbolic diffeomorphism of a Seifert manifold induces a map in the base which has a pseudo-Anosov component then it cannot be dynamically coherent. This extends work of Bonatti, Gogolev, Hammerlindl and Potrie to the whole isotopy class. We relate the techniques with the study of certain partially hyperbolic diffeomorphisms in hyperbolic 3-manifolds performed in the previous paper by the authors. The appendix reviews some consequences of the Nielsen-Thurston classification of surface homeomorphisms to the dynamics of lifts of such maps to the universal cover.
Descripción:
Publicado también como: Ergodic Theory and Dynamical Systems , 2021, 41(11): 3227 - 3243 . DOI: 10.1017/etds.2020.113
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Editorial:
arXiv
EN:
Mathematics (Dynamical Systems), arXiv:2002.10315, feb 2020, pp1-18
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Citación:
Barthelmé, T, Fenley, S, Frankel, S [y otro autor]. "Dynamical incoherence for a large class of partially hyperbolic diffeomorphisms". [Preprint]. Pulicado en: Mathematics (Dynamical Systems), 2020, arXiv:2002.10315, feb 2020, pp1-18. 18 h.
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Licencia Creative Commons Atribución - No Comercial - Sin Derivadas (CC - By-NC-ND 4.0)
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| Ficheros | Descripción | Tamaño | Formato | ||
|---|---|---|---|---|---|
| 2002.10315.pdf | — | 418.82 KB | Adobe PDF |