On singular foliations on the solid torus


Autoria(s): Arraut, José L.; Martins, Luciana F.; Schütz, Dirk
Contribuinte(s)

Universidade Estadual Paulista (UNESP)

Data(s)

27/05/2014

27/05/2014

15/08/2013

Resumo

We study smooth foliations on the solid torus S1×D2 having S1×{0} and S1×∂D2 as the only compact leaves and 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. © 2013 Elsevier B.V.

Formato

1659-1674

Identificador

http://dx.doi.org/10.1016/j.topol.2013.06.012

Topology and its Applications, v. 160, n. 13, p. 1659-1674, 2013.

0166-8641

http://hdl.handle.net/11449/76272

10.1016/j.topol.2013.06.012

WOS:000324454300016

2-s2.0-84882887683

Idioma(s)

eng

Relação

Topology and its Applications

Direitos

closedAccess

Palavras-Chave #Foliations #Solid torus #Vector fields
Tipo

info:eu-repo/semantics/article