English

The geometry of electromagnetic curves on Riemannian manifolds

Classical Physics 2021-06-22 v1

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.

Keywords

Cite

@article{arxiv.2106.11063,
  title  = {The geometry of electromagnetic curves on Riemannian manifolds},
  author = {Sergio Islas-Ramirez and Cesar S. Lopez-Monsalvo and Jose Antonio Eduardo Roa-Neri},
  journal= {arXiv preprint arXiv:2106.11063},
  year   = {2021}
}

Comments

Digest submitted to Compumag 2021