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math-ph2004★ 6 cited
Second variational derivative of gauge-natural invariant Lagrangians and conservation laws
M. Francaviglia, M. Palese, E. Winterroth
We consider the second variational derivative of a given gauge-natural invariant Lagrangian taken with respect to (prolongations of) vertical parts of gauge-natural lifts of infini…
math-ph2004★ 9 cited
Generalized Bianchi identities in gauge-natural field theories and the curvature of variational principles
M. Francaviglia, M. Palese, E. Winterroth
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 gaug…