In the framework of classical field theory, we first review the Noether theory of symmetries,
with simple rederivations of its essential results, with special emphasis given to the Noether …

Arbitrary diffeomorphically invariant metric-torsion theories of gravity are considered. It is
assumed that Lagrangians of such theories contain derivatives of field variables (tensor …

We refer to Krupka's variational sequence, ie the quotient of the de Rham sequence on a
finite order jet space with respect to a 'variationally trivial'subsequence. Among the …

We derive both {\em local} and {\em global} generalized {\em Bianchi identities} for classical
Lagrangian field theories on gauge-natural bundles. We show that globally defined …

When a gauge-natural invariant variational principle is assigned, to determine canonical
covariant conservation laws, the vertical part of gauge-natural lifts of infinitesimal principal …

We generalize a classic result, due to Goldschmidt and Sternberg, relating the Jacobi
morphism and the Hessian for first-order field theories to higher-order gauge-natural field …

We present a clear-cut example of the importance of the functorial approach of gauge-
natural bundles and the general theory of Lie derivatives for classical field theory, where the …

We characterize symmetry transformations of Lagrangian extremals generating “on shell”
conservation laws. We relate symmetry transformations of extremals to Jacobi fields and …

In the Lagrangian framework for symmetries and conservation laws of field theories, we
investigate globality properties of conserved currents associated with non-global …

We investigate canonical aspects concerning the relation between symmetries and
conservation laws in gauge-natural field theories. In particular, we find that a canonical …