This is a review article on the motion of charged particles related to the author's study. The equation of motion of a charged particle is defined as a curve satisfying a certain differential equation of second order in a semi-Riemannian manifold furnished with a closed two-form. Charged particle is a generalization of geodesic. We shall oversee the geometric aspect of charged particles.
Osamu Ikawa. "Motion of Charged Particles From the Geometric View Point." J. Geom. Symmetry Phys. 18 23 - 47, 2010. https://doi.org/10.7546/jgsp-18-2010-23-47