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

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

2004-07-23

arxiv.org/abs/math-ph/0407054v4

Rep. Math. Phys. 56(1) (2005) 11--22.

Physics

Mathematical Physics

12 pages, minor changes, references list updated; presented at XXXVI Symposium on Math. Phys., Torun 09/06-12/06/04; v4 to app

Scientific paper

10.1016/S0034-4877(05)80038-2

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.

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