Geometric integration by parts and Lepage equivalents
| Autor: | Palese, Marcella, Rossi, Olga, Zanello, Fabrizio |
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| Rok vydání: | 2020 |
| Předmět: | |
| Zdroj: | Differential Geom. Appl. 81 (2022), 101866 |
| Druh dokumentu: | Working Paper |
| DOI: | 10.1016/j.difgeo.2022.101866 |
| Popis: | 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. Comment: 37 pages, presentation changed, new results and example added, v3: equations numbering corrected |
| Databáze: | arXiv |
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