Topological invariants for singularities of real vector fields in dimension three

C. Alonso-González; M. I. Camacho; F. Cano

doi:10.3934/dcds.2008.20.823

Article Contents

2008, Volume 20, Issue 4: 823-847. Doi: 10.3934/dcds.2008.20.823

This issue Previous Article A Gauss-Bonnet-like formula on two-dimensional almost-Riemannian manifolds Next Article Physical measures at the boundary of hyperbolic maps

Topological invariants for singularities of real vector fields in dimension three

1.
Dpto. de Estadística e Investigación Operativa, Universidad de Alicante, 03690 San Vicente del Raspeig, Alicante
2.
Foundation Getulio Vargas, Rio de Janeiro
3.
Dpto. Álgebra, Geometría y Topología, Universidad de Valladolid, 47005 Valladolid

Received: November 30, 2006

Revised: August 31, 2007

Published: September 2008

Abstract Related Papers Cited by

Abstract

We give topological invariants for a wide class of abso-lutely isolated singularities of three-dimensional real vector fields. Our invariants are complete once the desingularization morphism $\pi$ is fixed. They are obtained in terms of a finite set of configurations depending only on the eigenvalues of the singularities.

Keywords:

Mathematics Subject Classification: Primary: 34C0810.

Citation:

Article Metrics

HTML views() PDF downloads(88) Cited by(0)

Topological invariants for singularities of real vector fields in dimension three

Abstract

Access History

Article Metrics

Access History

Other Articles By Authors

Catalog

Topological invariants for singularities of real vector fields in dimension three

Abstract

Access History

SHARE

Article Metrics

Access History

Other Articles By Authors

Catalog

Export File

Citation

Format

Content