The role of pseudo-hypersurfaces in non-holonomic motion
Mathematical Physics
2019-06-04 v1 General Relativity and Quantum Cosmology
math.MP
Abstract
The geometry of hypersurfaces is generalized to pseudo-hypersurfaces, which are defined by Pfaff equations. The general methods are then applied to modeling the kinematics of motion constrained by a single linear, non-holonomic constraint. They are then applied to the example of a charge moving in an electromagnetic field, and the Lorentz equation of motion is shown to represent a geodesic that is constrained to lie in a pseudo-hypersurface that is defined by the potential 1-form.
Keywords
Cite
@article{arxiv.1906.00714,
title = {The role of pseudo-hypersurfaces in non-holonomic motion},
author = {D. H. Delphenich},
journal= {arXiv preprint arXiv:1906.00714},
year = {2019}
}
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43 pages