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.
Citation
Osamu Ikawa. "Motion of Charged Particles in Two-Step Nilpotent Lie Groups." J. Geom. Symmetry Phys. 20 57 - 67, 2010. https://doi.org/10.7546/jgsp-20-2010-57-67
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