Arraut, José and Martins, Luciana and Schuetz, Dirk (2013) 'On singular foliations on the solid torus.', Topology and its applications., 160 (13). pp. 1659-1674.
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.
| Item Type: | Article |
|---|---|
| Keywords: | Foliations, Solid torus, Vector fields. |
| Full text: | (AM) Accepted Manuscript Download PDF (811Kb) |
| Status: | Peer-reviewed |
| Publisher Web site: | https://doi.org/10.1016/j.topol.2013.06.012 |
| Publisher 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 |
| Date accepted: | 28 June 2013 |
| Date deposited: | 07 July 2015 |
| Date of first online publication: | August 2013 |
| Date first made open access: | No date available |
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