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arXiv · hep-th/9411141

Varational Equations and Symmetries in the Lagrangian Formalism

D. R. Grigore
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Abstract

Symmetries in the Lagrangian formalism of arbitrary order are analysed with the help of the so-called Anderson-Duchamp-Krupka equations. For the case of second order equations and a scalar field we establish a polynomial structure in the second order derivatives. This structure can be used to make more precise the form of a general symmetry. As an illustration we analyse the case of Lagrangian equations with Poincaré invariance or with universal invariance.

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D. R. Grigore. 1994-11-18. Varational Equations and Symmetries in the Lagrangian Formalism. https://doi.org/10.1088/0305-4470%2F28%2F10%2F020

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