Abstract
We formulate the equation of motion of a charged particle in a Riemannian manifold with a closed two form. Since a two-step nilpotent Lie group has natural left-invariant closed two forms, it is natural to consider the motion of a charged particle in a simply connected two-step nilpotent Lie groups with a left invariant metric. We study the behavior of the motion of a charged particle in the above spaces.
Information
Published: 1 January 2011
First available in Project Euclid: 13 July 2015
zbMATH: 1382.53008
MathSciNet: MR2780241
Digital Object Identifier: 10.7546/giq-12-2011-252-262
Rights: Copyright © 2011 Institute of Biophysics and Biomedical Engineering, Bulgarian Academy of Sciences
