dc.creator | Cabrerizo Jaraíz, José Luis | es |
dc.creator | Fernández Andrés, Manuel | es |
dc.creator | Gómez Casanueva, Juan Salvador | es |
dc.date.accessioned | 2016-10-19T06:48:20Z | |
dc.date.available | 2016-10-19T06:48:20Z | |
dc.date.issued | 2009-05-15 | |
dc.identifier.citation | Cabrerizo Jaraíz, J.L., Fernández Andrés, M. y Gómez Casanueva, J.S. (2009). The contact magnetic flow in 3D Sasakian manifolds. Journal of Physics A: Mathematical and Theoretical, 42 (19), 195201-195210. | |
dc.identifier.issn | 1751-8113 | es |
dc.identifier.issn | 1751-8121 | es |
dc.identifier.uri | http://hdl.handle.net/11441/47724 | |
dc.description.abstract | We first present a geometrical approach to magnetic fields in three-dimensional Riemannian manifolds, because this particular dimension allows one to easily tie vector fields and 2-forms. When the vector field is divergence free, it defines a magnetic field on the manifold whose Lorentz force equation presents a simple and useful form. In particular, for any three-dimensional Sasakian manifold the contact magnetic field is studied, and the normal magnetics trajectories are determined. As an application, we consider the three-dimensional unit sphere, where we prove the existence of closed magnetic trajectories of the contact magnetic field, and that this magnetic flow is quantized in the set of rational numbers. | es |
dc.description.sponsorship | Oficina de Gestión de la Investigación Científica y Técnica | es |
dc.description.sponsorship | Junta de Andalucía | es |
dc.format | application/pdf | es |
dc.language.iso | eng | es |
dc.publisher | IOP Publishing | es |
dc.relation.ispartof | Journal of Physics A: Mathematical and Theoretical, 42 (19), 195201-195210. | |
dc.rights | Attribution-NonCommercial-NoDerivatives 4.0 Internacional | * |
dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/4.0/ | * |
dc.title | The contact magnetic flow in 3D Sasakian manifolds | es |
dc.type | info:eu-repo/semantics/article | es |
dcterms.identifier | https://ror.org/03yxnpp24 | |
dc.type.version | info:eu-repo/semantics/submittedVersion | es |
dc.rights.accessRights | info:eu-repo/semantics/openAccess | es |
dc.contributor.affiliation | Universidad de Sevilla. Departamento de Geometría y Topología | es |
dc.relation.projectID | MTM 2007-61284 | es |
dc.relation.projectID | FQM-327 | es |
dc.relation.publisherversion | http://iopscience.iop.org/article/10.1088/1751-8113/42/19/195201/pdf | es |
dc.identifier.doi | 10.1088/1751-8113/42/19/195201 | es |
dc.contributor.group | Universidad de Sevilla. FQM327: Geometria (Semi) Riemanniana y Aplicaciones | es |
idus.format.extent | 15 p. | es |
dc.journaltitle | Journal of Physics A: Mathematical and Theoretical | es |
dc.publication.volumen | 42 | es |
dc.publication.issue | 19 | es |
dc.publication.initialPage | 195201 | es |
dc.publication.endPage | 195210 | es |
dc.identifier.idus | https://idus.us.es/xmlui/handle/11441/47724 | |
dc.contributor.funder | Junta de Andalucía | |