Magnetic spherical indicatricies in Minkowski 3-space

Abstract

In this paper, we examine curves drawn by a timelike or spacelike curve[Formula: see text] on the pseudo-hyperbolic sphere [Formula: see text] and the unit Lorentzian sphere [Formula: see text]in three-dimensional Minkowski space [Formula: see text] We present Lorentz forces and magnetic curves produced by the Frenet frame [Formula: see text] on spherical indicatricies in a magnetic field of the curve [Formula: see text]. We calculate magnetic vector fields of magnetic curves for [Formula: see text]. Furthermore, we define magnetic flux surfaces constructed by magnetic vector fields along magnetic spherical indicatricies. We obtain developability conditions for these surfaces. Finally, we illustrate magnetic flux surfaces with some interesting examples.