Killing vectors and magnetic curves in Lorentzian α-Sasakian 3-manifolds

The aim of this paper is to obtain magnetic trajectories corresponding to contact magnetic fields in Lorentzian [Formula: see text]-Sasakian 3-manifolds. First, we provide the definitions of the magnetic field and the Lorentzian equation used in this paper and derive the expression for the Bott connection by using the Levi-Civita connection. Then we derive the expression of Killing vector fields by using the Killing equation. At the same time, we obtain the explicit formulas for the Killing magnetic curves related to Bott connection. In addition, we provide an example for each type of Killing magnetic curve.