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Vector Fields Tangent to Foliations

Published online by Cambridge University Press:  12 December 2008

L. F. Martins  and
F. Tari
L. F. Martins
Affiliation:
Departamento de Matemática, Instituto de Biociências, Letras e Ciências Exatas, Universidade Estadual Paulista ‘Júlio de Mesquita Filho’, R. Cristóvão Colombo, 2265 Jardim Nazareth, CEP 15054-000, São José do Rio Preto SP, Brazil (lmartins@ibilce.unesp.br)
F. Tari
Affiliation:
Department of Mathematical Sciences, Durham University, Science Laboratories, South Road, Durham DH1 3LE, UK (farid.tari@durham.ac.uk)
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Abstract

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We investigate in this paper the topological stability of pairs (ω, X), where ω is a germ of an integrable 1-form and X is a germ of a vector field tangent to the foliation determined by ω.

Keywords

1-formfoliationsingularitytopological stabilityvector field
Type
Research Article
Information
Proceedings of the Edinburgh Mathematical Society , Volume 51 , Issue 3 , October 2008 , pp. 765 - 778
Copyright
Copyright © Edinburgh Mathematical Society 2008