Repositorio de producción científica de la Universidad de Sevilla

The contact magnetic flow in 3D Sasakian manifolds

Opened Access The contact magnetic flow in 3D Sasakian manifolds

Citas

buscar en

Estadísticas
Icon
Exportar a
Autor: Cabrerizo Jaraíz, José Luis
Fernández Andrés, Manuel
Gómez Casanueva, Juan Salvador
Departamento: Universidad de Sevilla. Departamento de Geometría y Topología
Fecha: 2009-05-15
Publicado en: Journal of Physics A: Mathematical and Theoretical, 42 (19), 195201-195210.
Tipo de documento: Artículo
Resumen: 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.
Cita: 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.
Tamaño: 350.0Kb
Formato: PDF

URI: http://hdl.handle.net/11441/47724

DOI: 10.1088/1751-8113/42/19/195201

Ver versión del editor

Mostrar el registro completo del ítem


Esta obra está bajo una Licencia Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 Internacional

Este registro aparece en las siguientes colecciones