On transverse $R$-covered minimal foliations

Fuente: arXiv
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Auteurs principaux: Barbot, Thierry, Fenley, Sergio R., Potrie, Rafael
Format: Preprint
Publié: 2025
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author Barbot, Thierry
Fenley, Sergio R.
Potrie, Rafael
author_facet Barbot, Thierry
Fenley, Sergio R.
Potrie, Rafael
contents We study minimal transverse foliations which are $R$-covered. If in addition the dimension of the ambient manifold is $3$, and the foliations are Anosov foliations we give necessary and sufficient conditions for the intersected foliation to be the orbit foliation of an Anosov flow.
format Preprint
id arxiv_https___arxiv_org_abs_2501_14489
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle On transverse $R$-covered minimal foliations
Barbot, Thierry
Fenley, Sergio R.
Potrie, Rafael
Geometric Topology
Differential Geometry
Dynamical Systems
We study minimal transverse foliations which are $R$-covered. If in addition the dimension of the ambient manifold is $3$, and the foliations are Anosov foliations we give necessary and sufficient conditions for the intersected foliation to be the orbit foliation of an Anosov flow.
title On transverse $R$-covered minimal foliations
topic Geometric Topology
Differential Geometry
Dynamical Systems
url https://arxiv.org/abs/2501.14489