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On the existence of almost contact structure and the contact magnetic field

 

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Author: Cabrerizo Jaraíz, José Luis
Fernández Andrés, Manuel
Gómez Casanueva, Juan Salvador
Department: Universidad de Sevilla. Departamento de Geometría y Topología
Date: 2009-10
Published in: Acta Mathematica Hungarica, 125 (1-2), 191-199.
Document type: Article
Abstract: In this short note we give a simple proof of the existence of an almost contact metric structure on any orientable 3-dimensional Riemannian manifold (M3, g) with the prescribed metric g as the adapted metric of the almost contact metric structure. By using the key formula for the structure tensor obtained in the proof of this theorem, we give an application which allows us to completely determine the magnetic flow of the contact magnetic field in any 3-dimensional Sasakian manifold.
Cite: Cabrerizo Jaraíz, J.L., Fernández Andrés, M. y Gómez Casanueva, J.S. (2009). On the existence of almost contact structure and the contact magnetic field. Acta Mathematica Hungarica, 125 (1-2), 191-199.
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URI: http://hdl.handle.net/11441/47730

DOI: 10.1007/s10474-009-9005-1

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