Título:
Horizontality of partially hyperbolic foliations
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Autor:
Hammerlindl, Andy
Potrie Altieri, Rafael
Potrie Altieri, Rafael
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Tipo de documento:
Preprint
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Descriptores:
MATHEMATICS - DYNAMICAL SYSTEMS
FOLIATIONS
FOLIATIONS IN DIFFERENTIAL TOPOLOGY
FOLIATIONS
FOLIATIONS IN DIFFERENTIAL TOPOLOGY
Año de publicación:
2025
Contenido:
Resumen:
We show exactly which Seifert manifolds support partially hyperbolic dynamical systems. In particular, a circle bundle over a higher-genus surface supports a partially hyperbolic system if and only if it supports an Anosov flow. We also show for these systems that the center-stable and center-unstable foliations can be isotoped so that their leaves are transverse to the circle fibering. As a consequence, every partially hyperbolic system defined on the unit tangent bundle of a higher-genus surface is a collapsed Anosov flow.
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arXiv
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Mathematics (Dynamical Systems), arXiv:2503.08077, mar. 2025, pp.1-48
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Citación:
Hammerlindl, A y Potrie Altieri, R. "Horizontality of partially hyperbolic foliations" [Preprint]. Publicado en: Mathematics (Dynamical Systems). 2025, arXiv:2503.08077, mar. 2025, pp.1-48 DOI: 10.48550/arXiv.2503.08077
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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 | ||
|---|---|---|---|---|---|
| 2503.08077v1.pdf | — | 474.28 KB | Adobe PDF |