Motion of charged particles from the geometric view point. (English) Zbl 1203.53019

Summary: 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.


53B25 Local submanifolds
53C30 Differential geometry of homogeneous manifolds
78A35 Motion of charged particles
53B30 Local differential geometry of Lorentz metrics, indefinite metrics
53B50 Applications of local differential geometry to the sciences