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

M. Francaviglia·M. Palese·E. Winterroth
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Abstract

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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M. Francaviglia, M. Palese, E. Winterroth. 2005-04-27. Generalized Bianchi identities in gauge-natural field theories and the curvature of variational principles. https://doi.org/10.1016/s0034-4877(05)80038-2

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