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Stability numbers in K-contact manifolds
dc.contributor.author | Hurtado, Ana | |
dc.date.accessioned | 2012-05-28T14:36:35Z | |
dc.date.available | 2012-05-28T14:36:35Z | |
dc.date.issued | 2008 | |
dc.identifier | http://dx.doi.org/10.1016/j.difgeo.2008.03.001 | |
dc.identifier.citation | Differential Geometry and its Application, 26, 3, p. 227-243 | |
dc.identifier.issn | 9262245 | |
dc.identifier.uri | http://hdl.handle.net/10234/38966 | |
dc.description.abstract | 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. | |
dc.language.iso | eng | |
dc.publisher | Elsevier | |
dc.rights.uri | http://rightsstatements.org/vocab/CNE/1.0/ | * |
dc.subject | Berger spheres | |
dc.subject | Characteristic vector field | |
dc.subject | Energy | |
dc.subject | Hopf vector fields | |
dc.subject | K-contact manifold | |
dc.subject | Volume | |
dc.title | Stability numbers in K-contact manifolds | |
dc.type | info:eu-repo/semantics/article | |
dc.identifier.doi | http://dx.doi.org/10.1016/j.difgeo.2008.03.001 | |
dc.rights.accessRights | info:eu-repo/semantics/restrictedAccess | |
dc.type.version | info:eu-repo/semantics/publishedVersion |
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