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arXiv · 1906.00714

The role of pseudo-hypersurfaces in non-holonomic motion

D. H. Delphenich
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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.

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D. H. Delphenich. 2019-06-03. The role of pseudo-hypersurfaces in non-holonomic motion. https://arxiv.org/abs/1906.00714

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