Physics – Mathematical Physics
Scientific paper
2004-11-08
Proc.IX Int. Conf. Diff. Geom. Appl.; J.Bures et al. eds.; Charles University, Prague (Czech Republic), 2005, 591--604
Physics
Mathematical Physics
17 pages; some misprints corrected, few changes, reference list updated, v3 to appear in Proc. IX Int. Conf. on Diff. Geom. an
Scientific paper
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 infinitesimal principal automorphisms. By requiring such a second variational derivative to vanish, {\em via} the Second Noether Theorem we find that a covariant strongly conserved current is canonically associated with the deformed Lagrangian obtained by contracting Euler--Lagrange equations of the original Lagrangian with (prolongations of) vertical parts of gauge-natural lifts of infinitesimal principal automorphisms lying in the kernel of the generalized gauge-natural Jacobi morphism.
Francaviglia Mauro
Palese Marcella
Winterroth Ekkehart
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