Symmetries and reduction Part II - Lagrangian and Hamilton-Jacobi picture

INTERNATIONAL JOURNAL OF GEOMETRIC METHODS IN MODERN PHYSICS(2022)

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摘要
Following the analysis we have presented in a previous paper (that we refer to as [I]), we describe a Noether theorem related to symmetries, with the associated reduction procedures, for classical dynamics within the Lagrangian and the Hamilton-Jacobi formalism.
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关键词
Symmetries for implicit equations, Lagrangian equations, gauge transformations, reduction, Hamilton-Jacobi equations
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