The geometry of electromagnetic curves on Riemannian manifolds

2021/06/17 by Sergio Islas-Ramirez, Islas-Ramirez, Sergio, C. S. López-Monsalvo +3
Physics and Astronomy · Mathematics · #Advanced Differential Geometry Research #Geometric Analysis and Curvature Flows

paper · pdf · doi:10.48550/arxiv.2106.11063

Abstract

We present a concise definition of an electromagnetic curve on a Riemannian manifold and illustrate the explicit case of the motion of a charged particle on the unit sphere under the influence of a uniform magnetic field.

Related

• General Geometry and Geometry of Electromagnetism
• Unification of Electromagnetism and Gravitation in the Framework of General Geometry
• Geodesics of charged particle in electromagnetic field
• A new approach for magnetic curves in 3D Riemannian manifolds
• The Motion of a Charged Particle on a Riemannian Surface Under a Non-Zero Magnetic Field