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Symmetries of line bundles and Noether theorem for time-dependent nonholonomic systems (1609.01965v2)
Published 7 Sep 2016 in math-ph, math.DG, math.MP, and math.SG
Abstract: We consider Noether symmetries of the equations defined by the sections of characteristic line bundles of nondegenerate 1-forms and of the associated perturbed systems. It appears that this framework can be used for time-dependent systems with constraints and nonconservative forces, allowing a quite simple and transparent formulation of the momentum equation and the Noether theorem in their general forms.
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