Stability numbers in K-contact manifolds
Metadatos
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http://dx.doi.org/10.1016/j.difgeo.2008.03.001 |
Metadatos
Título
Stability numbers in K-contact manifoldsAutoría
Fecha de publicación
2008Editor
ElsevierISSN
9262245Cita bibliográfica
Differential Geometry and its Application, 26, 3, p. 227-243Tipo de documento
info:eu-repo/semantics/articleVersión
info:eu-repo/semantics/publishedVersionPalabras clave / Materias
Resumen
The aim of this paper is to study the stability of the characteristic vector field of a compact K-contact manifold with respect to the energy and volume functionals when we consider on the manifold a two-parameter ... [+]
The aim of this paper is to study the stability of the characteristic vector field of a compact K-contact manifold with respect to the energy and volume functionals when we consider on the manifold a two-parameter variation of the metric. First of all, we multiply the metric in the direction of the characteristic vector field by a constant and then we change the metric by homotheties. We will study to what extent the results obtained in [V. Borrelli, Stability of the characteristic vector field of a Sasakian manifold, Soochow J. Math. 30 (2004) 283-292. Erratum on the article: Stability of the characteristic vector field of a Sasakian manifold, Soochow J. Math. 32 (2006) 179-180] for Sasakian manifolds are valid for a general K-contact manifold. Finally, as an example, we will study the stability of Hopf vector fields on Berger spheres when we consider homotheties of Berger metrics. © 2008 Elsevier B.V. All rights reserved. [-]
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