25 citations · 218 across the 37 of their papers we have counts for
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Lepage equivalents for second order Lagrangians and applications: modified higher order Boussinesq-type equations
Marcella Palese, Fabrizio Zanello
In the frame of the Lagrangian formalism on -order prolongations of fibered manifolds and related structures such as (prolongation of) projectable vector fields, (sheaves of) di…
Geometric integration by parts and Lepage equivalents
Marcella Palese, Olga Rossi, Fabrizio Zanello
We compare the integration by parts of contact forms - leading to the definition of the interior Euler operator - with the so-called canonical splittings of variational morphisms.…
Symmetry transformations of extremals and higher conserved quantities: invariant Yang--Mills connections
Luca Accornero, Marcella Palese
We characterize symmetry transformations of Lagrangian extremals generating `on shell' conservation laws. We relate symmetry transformations of extremals to Jacobi fields and study…
Higgs fields induced by Yang--Mills type Lagrangians on gauge-natural prolongations of principal bundles
Marcella Palese, Ekkehart Winterroth
We address some new issues concerning spontaneous symmetry breaking. We define classical Higgs fields for gauge-natural invariant Yang--Mills type Lagrangian field theories through…
The Jacobi morphism and the Hessian in higher order field theory; with applications to a Yang-Mills theory on a Minkowskian background
Luca Accornero, Marcella Palese
We characterize the second variation of an higher order Lagrangian by a Jacobi morphism and by currents strictly related to the geometric structure of the variational problem. We d…
Topological obstructions in Lagrangian field theories, with an application to 3D Chern-Simons gauge theory
Marcella Palese, Ekkehart Winterroth
We relate the existence of Noether global conserved currents associated with locally variational field equations to existence of global solutions for a local variational problem ge…