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.

引用

页码：1659 / 1674

页数：16

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