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Title: Generalized Jacobi morphisms in variational sequences (English)
Author: Francaviglia, Mauro
Author: Palese, Marcella
Language: English
Journal: Proceedings of the 21st Winter School "Geometry and Physics"
Issue: 2001
Pages: [195]-208
Category: math
Summary: Summary: We provide a geometric interpretation of generalized Jacobi morphisms in the framework of finite order variational sequences. \par Jacobi morphisms arise classically as an outcome of an invariant decomposition of the second variation of a Lagrangian. Here they are characterized in the context of generalized Lagrangian symmetries in terms of variational Lie derivatives of generalized Euler-Lagrange morphisms. We introduce the variational vertical derivative and stress its link with the classical concept of variation. The relation with generalized Helmholtz morphisms is also clarified. (English)
MSC: 55N30
MSC: 55R10
MSC: 58A12
MSC: 58A20
MSC: 58E30
MSC: 70S05
MSC: 70S10
idZBL: Zbl 1028.58022
idMR: MR1972435
Date available: 2009-07-13T21:47:50Z
Last updated: 2012-09-18
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