On pairs of foliations defined by vector fields in the plane

Jorge Sotomayor; Michail Zhitomirskii

doi:10.3934/dcds.2000.6.741

Article Contents

2000, Volume 6, Issue 3: 741-749. Doi: 10.3934/dcds.2000.6.741

This issue Previous Article A quantized henon map Next Article

On pairs of foliations defined by vector fields in the plane

Jorge Sotomayor^1, and
Michail Zhitomirskii^2,

1.
Instituto de Matemática e Estatística, Universidade de São Paulo, Rua do Matão 1010, 05508-900 São Paulo, S.P.
2.
Department of Mathematics, Technion, 32000 Haifa

Received: March 31, 1999

Revised: September 30, 1999

Published: June 2000

Abstract Related Papers Cited by

Abstract

We obtain a smooth and analytic local classification of pairs of foliations of the plane assuming that one of the foliations is defined by a nonsingular vector field and the other foliation is defined by a singular vector field.

Keywords:

Mathematics Subject Classification: 14B05, 57R30, 58C27, 58F36, 58C27.

Citation:

Article Metrics

HTML views() PDF downloads(106) Cited by(0)

On pairs of foliations defined by vector fields in the plane

Abstract

Access History

Article Metrics

Access History

Other Articles By Authors

Catalog

On pairs of foliations defined by vector fields in the plane

Abstract

Access History

SHARE

Article Metrics

Access History

Other Articles By Authors

Catalog

Export File

Citation

Format

Content