Motion of charged particle in a class of homogeneous spaces

Abstract

We study the motion of charged particle under a natural choice of electromagnetic field in a general class of compact homogeneous spaces. As a special case we describe the motion in homogeneous Riemannian spaces $(G/H,g)$, where $g$ is any deformation of a normal metric along the fibers of a homogeneous fibration $K/H\to G/H\to G/K$.

arXiv commentRevised introduction and arguments, added references, results are unchanged

References in corpus (1)

• Motion of charged particles around a magnetized/electrified black hole

Cited by in corpus (2)

• Homogeneity of magnetic trajectories in the Berger sphere
• Contact magnetic geodesic and sub-Riemannian flows on $V_{n,2}$ and integrable cases of a heavy rigid body with a gyrostat