Title of article
On singular foliations on the solid torus
Author/Authors
J. M. Arraut، نويسنده , , José L. and Martins، نويسنده , , Luciana F. and Schütz، نويسنده , , Dirk، نويسنده ,
Issue Information
دوماهنامه با شماره پیاپی سال 2013
Pages
16
From page
1659
To page
1674
Abstract
We study smooth foliations on the solid torus S 1 × D 2 having S 1 × { 0 } and S 1 × ∂ D 2 as the only compact leaves and S 1 × { 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.
Keywords
Foliations , Solid torus , Vector fields
Journal title
Topology and its Applications
Serial Year
2013
Journal title
Topology and its Applications
Record number
1583887
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