Magnetic curves corresponding to Killing magnetic fields in \mathbb E³E3

2011/11/01 by Simona Luiza Druţă-Romaniuc, Simona-Luiza Druţă-Romaniuc, Marian Ioan Munteanu · 2 citations
Physics and Astronomy · Mathematics · #Quantum chaos and dynamical systems #Geometry and complex manifolds #Black Holes and Theoretical Physics

paper · doi:10.1063/1.3659498

Abstract

We explicitly determine all magnetic curves corresponding to the Killing magnetic fields on the 3-dimensional Euclidean space.

Citations

• Magnetic vortex filament flows
• General helices and a theorem of Lancret

Cited by

• A new approach for magnetic curves in 3D Riemannian manifolds
• Magnetic flux surfaces and magnetic curves with Bishop frame in Euclidean 3-space

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• Magnetic flux surfaces and magnetic curves with Bishop frame in Euclidean 3-space
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• Singularity properties of null killing magnetic curves in Minkowski 3-space