Identités satisfaites par un Lagrangien

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1960

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Copyright PERSEE 2003-2023. Works reproduced on the PERSEE website are protected by the general rules of the Code of Intellectual Property. For strictly private, scientific or teaching purposes excluding all commercial use, reproduction and communication to the public of this document is permitted on condition that its origin and copyright are clearly mentionned.



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M. Godart, « Identités satisfaites par un Lagrangien », Bulletins de l'Académie Royale de Belgique, ID : 10.3406/barb.1960.68018


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We write the identities relative to a density which depends of tensors, of the first and second derivatives of these tensors, of a connection and of the first derivatives of this connection. By means of these identities, we build up skew symmetric pseudo-tensors (complexes) and conservative pseudo tensors, wich generalize those introduced by Møller in general relativity. The variances of the functions in them are indicated. Finally, we apply the obtained results to some particular cases.

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