Magnetic Spherical Indicatricies in Minkowski 3-Space

Abstract

In this paper, we examine curves drawn by a timelike or spacelike curvea on the pseudo-hyperbolic sphere H(0)(2 )and the unit Lorentzian sphere S(1)(2 )in three-dimensional Minkowski space Double-struck capital R-1(3). We present Lorentz forces and magnetic curves produced by the Frenet frame {T-T,N-T,B-T} on spherical indicatricies in a magnetic field of the curve a. We calculate magnetic vector fields of magnetic curves for T-T,N-T,B-T. 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.