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Generalized Bianchi identities in gauge-natural field theories and the curvature of variational principles

M. Francaviglia, M. Palese, E. Winterroth

Published 2004-07-23, updated 2005-04-27Version 4

By resorting to Noether's Second Theorem, we relate the generalized Bianchi identities for Lagrangian field theories on gauge-natural bundles with the kernel of the associated gauge-natural Jacobi morphism. A suitable definition of the curvature of gauge-natural variational principles can be consequently formulated in terms of the Hamiltonian connection canonically associated with a generalized Lagrangian obtained by contracting field equations.

Comments: 12 pages, minor changes, references list updated; presented at XXXVI Symposium on Math. Phys., Torun 09/06-12/06/04; v4 to appear in Rep. Math. Phys
Journal: Rep. Math. Phys. 56(1) (2005) 11--22.
Categories: math-ph, math.DG, math.MP
Subjects: 58A20, 58A32, 58E30
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