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2006 Electric Fields Created by Point Charges: Some Geometrical and Topological Results
Alberto Enciso, Daniel Peralta-Salas
J. Geom. Symmetry Phys. 5: 14-23 (2006). DOI: 10.7546/jgsp-5-2006-14-23

Abstract

We study some geometrical and topological properties of the electric fields created by point charges on Riemannian manifolds. Particularly, we characterize the spaces on which the electric lines emanating from a point charge are geodesics, and describe the topological properties of the basin boundary for $N$ point charges. Several open problems will be posed.

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Alberto Enciso. Daniel Peralta-Salas. "Electric Fields Created by Point Charges: Some Geometrical and Topological Results." J. Geom. Symmetry Phys. 5 14 - 23, 2006. https://doi.org/10.7546/jgsp-5-2006-14-23

Information

Published: 2006
First available in Project Euclid: 20 May 2017

zbMATH: 1112.78005
MathSciNet: MR2269878
Digital Object Identifier: 10.7546/jgsp-5-2006-14-23

Rights: Copyright © 2006 Institute of Biophysics and Biomedical Engineering, Bulgarian Academy of Sciences

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