25 citations · 218 across the 37 of their papers we have counts for
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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…
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…
Covariant gauge-natural conservation laws
Marcella Palese, Ekkehart Winterroth
When a gauge-natural invariant variational principle is assigned, to determine {\em canonical} covariant conservation laws, the vertical part of gauge-natural lifts of infinitesima…
Bäcklund loop algebras for compact and non-compact nonlinear spin models in dimensions
Marcella Palese
The Bäcklund problem is solved for both the compact and noncompact versions of the Ishimori (2+1)-dimensional nonlinear spin model. In particular, a realization of the arising Bäck…