Second variational derivative of gauge-natural invariant Lagrangians and conservation laws

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dc.creatorFrancaviglia, M.
dc.creatorPalese, M.
dc.creatorWinterroth, E.
dc.date2004-11-08
dc.date2005-06-15
dc.date.accessioned2026-07-07T06:23:22Z
dc.date.available2026-07-07T06:23:22Z
dc.descriptionWe 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.
dc.description17 pages; some misprints corrected, few changes, reference list updated, v3 to appear in Proc. IX Int. Conf. on Diff. Geom. and its Appl. (Prague 30/08-03/09/2004)
dc.identifierhttps://arxiv.org/abs/math-ph/0411026
dc.identifierhttp://arxiv.org/abs/math-ph/0411026
dc.identifierProc.IX Int. Conf. Diff. Geom. Appl.; J.Bures et al. eds.; Charles University, Prague (Czech Republic), 2005, 591--604
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/96205
dc.subjectMathematical Physics
dc.subjectDifferential Geometry
dc.subject58A20;58A32;58E30;58E40;58J10;58J70
dc.titleSecond variational derivative of gauge-natural invariant Lagrangians and conservation laws
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