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

2023/12/17 by Xiaoyan Jiang, Donghe Pei
Physics and Astronomy · Earth and Planetary Sciences · #Relativity and Gravitational Theory #Geophysics and Gravity Measurements #Cosmology and Gravitation Theories

paper · doi:10.1142/s0219887824501196

Abstract

We define the lightlike [Formula: see text]-magnetic curves, lightlike [Formula: see text]-magnetic curves and lightlike [Formula: see text]-magnetic curves in Minkowski 3-space. Then we discuss the characteristics of the corresponding magnetic fields of these lightlike magnetic curves. Furthermore, we also investigate the geometric properties of the magnetic flux surfaces formed by the magnetic fields along lightlike magnetic curves.

Citations

• Magnetic vortex filament flows
• A new approach for magnetic curves in 3D Riemannian manifolds
• Singularity properties of null killing magnetic curves in Minkowski 3-space

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• Flux ruled surfaces and the magnetic curves obtained from the curvature theory
• Singularity properties of null killing magnetic curves in Minkowski 3-space
• Dual magnetic curves and flux ruled surfaces
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