Singularity properties of null killing magnetic curves in Minkowski 3-space

2020/06/24 by Jianguo Sun · 1 citation
Physics and Astronomy · Mathematics · #Advanced Differential Geometry Research #Geometric Analysis and Curvature Flows #Black Holes and Theoretical Physics

paper · doi:10.1142/s0219887820501418

Abstract

We reconstruct the Cartan Equations of null Killing magnetic curve [Formula: see text] in [Formula: see text] with Killing magnetic vector field [Formula: see text] under the new Cartan frame [Formula: see text], which describe some new geometrical properties of [Formula: see text]. The singularity properties of the rectifying surfaces and the binormal osculating surfaces of null Killing magnetic curves are given. As an application, two examples are given to explain the main results, where the singular loci of null Killing magnetic curves are obtained.

Citations

• Magnetic vortex filament flows

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• Geometric properties of lightlike magnetic curves and magnetic flux surfaces in Minkowski 3-space

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