Symmetries of line bundles and Noether theorem for time-dependent nonholonomic systems

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.

14 pages, subsection 3.3 added, Corollary 4.2 reformulated

Cited by in corpus (2)

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