Skip to main content

Research Repository

Advanced Search

On singular foliations on the solid torus

Arraut, José; Martins, Luciana; Schuetz, Dirk

On singular foliations on the solid torus Thumbnail


Authors

José Arraut

Luciana Martins



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 Mar 28, 2024
Journal Topology and its Applications
Print ISSN 0166-8641
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.

Files

Accepted Journal Article (830 Kb)
PDF

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




You might also like



Downloadable Citations