Magnetic Curves in Cosymplectic Manifolds

In this paper we classify the magnetic trajectories with respect to contact magnetic fields in cosymplectic manifolds of arbitrary dimension. We classify Killing magnetic curves in product spaces M2×RM2×R, recalling also explicit description of magnetic curves in E3E3, S2×RS2×R and H2×RH2×R. Finally, we prove a reduction theorem for magnetic curves in the cosymplectic space form M¯2n(k)×R, in order to show that the (2n+1)-dimensional case reduces to the 3-dimensional one.