Symmetries of line bundles and Noether theorem for time-dependent nonholonomic systems
Mathematical Physics
2019-01-14 v2 Differential Geometry
math.MP
Symplectic Geometry
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.
Keywords
Cite
@article{arxiv.1609.01965,
title = {Symmetries of line bundles and Noether theorem for time-dependent nonholonomic systems},
author = {Bozidar Jovanovic},
journal= {arXiv preprint arXiv:1609.01965},
year = {2019}
}
Comments
14 pages, subsection 3.3 added, Corollary 4.2 reformulated