The classification of Killing magnetic curves in S2×RS2×R

We investigate the trajectories of charged particles moving in a space modeled by the homogeneous 3-space S2×RS2×R under the action of the Killing magnetic fields. The main results consist in the local description of the magnetic trajectories associated to Killing vector fields in S2×RS2×R, providing their complete classification. Moreover, some interpretations in terms of geometric properties are given.