José Arraut
On singular foliations on the solid torus
Arraut, José; Martins, Luciana; Schuetz, Dirk
Abstract
We study smooth foliations on the solid torus S1×D2S1×D2 having S1×{0}S1×{0} and S1×∂D2S1×∂D2 as the only compact leaves and S1×{0}S1×{0} as singular set. We show that all other leaves can only be cylinders or planes, and give necessary conditions for the foliation to be a suspension of a diffeomorphism of the disc.
Citation
Arraut, J., Martins, L., & Schuetz, D. (2013). On singular foliations on the solid torus. Topology and its Applications, 160(13), 1659-1674. https://doi.org/10.1016/j.topol.2013.06.012
Journal Article Type | Article |
---|---|
Acceptance Date | Jun 28, 2013 |
Publication Date | Aug 15, 2013 |
Deposit Date | Jun 29, 2015 |
Publicly Available Date | Jul 7, 2015 |
Journal | Topology and its Applications |
Print ISSN | 0166-8641 |
Electronic ISSN | 1879-3207 |
Publisher | Elsevier |
Peer Reviewed | Peer Reviewed |
Volume | 160 |
Issue | 13 |
Pages | 1659-1674 |
DOI | https://doi.org/10.1016/j.topol.2013.06.012 |
Keywords | Foliations, Solid torus, Vector fields. |
Public URL | https://durham-repository.worktribe.com/output/1435340 |
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Copyright Statement
NOTICE: this is the author’s version of a work that was accepted for publication in Topology and its applications. Changes resulting from the publishing process, such as peer review, editing, corrections, structural formatting, and other quality control mechanisms may not be reflected in this document. Changes may have been made to this work since it was submitted for publication. A definitive version was subsequently published in Topology and its applications, 160, 13, 2013, 10.1016/j.topol.2013.06.012
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