On singular foliations on the solid torus

被引：0
|
作者：
Arraut, Jose L. [1 ]
Martins, Luciana F. [2 ]
Schuetz, Dirk [3 ]
机构：
[1] Univ Sao Paulo, Dept Matemat, ICMC, BR-13560970 Sao Carlos, SP, Brazil
[2] Univ Estadual Paulista, Dept Matemat, Inst Biociencias Letras & Ciencias Exatas, Sao Paulo, Brazil
[3] Univ Durham, Dept Math Sci, Sci Laboritories, Durham DH1 3LE, England
来源：
TOPOLOGY AND ITS APPLICATIONS | 2013年 / 160卷 / 13期
基金：
巴西圣保罗研究基金会;
关键词：
Foliations; Solid torus; Vector fields; CODIMENSION-ONE FOLIATIONS; MORSE SINGULARITIES; ORBITS;
D O I：
10.1016/j.topol.2013.06.012
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We study smooth foliations on the solid torus S-1 x D-2 having S-1 x {0} and S-1 x partial derivative D-2 as the only compact leaves and S-1 x {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. (C) 2013 Elsevier B.V. All rights reserved.
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页码：1659 / 1674
页数：16
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