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arXiv · 2010.16135

Geometric integration by parts and Lepage equivalents

Marcella Palese·Olga Rossi·Fabrizio Zanello
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Abstract

We compare the integration by parts of contact forms - leading to the definition of the interior Euler operator - with the so-called canonical splittings of variational morphisms. In particular, we discuss the possibility of a generalization of the first method to contact forms of lower degree. We define a suitable Residual operator for this case and, working out an original conjecture by Olga Rossi, we recover the Krupka-Betounes equivalent for first order field theories. A generalization to the second order case is discussed.

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Marcella Palese, Olga Rossi, Fabrizio Zanello. 2020-10-30. Geometric integration by parts and Lepage equivalents. https://doi.org/10.1016/j.difgeo.2022.101866

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