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

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.