In the Lagrangian framework for symmetries and conservation laws of field theories, we investigate globality properties of conserved currents associated with non–global Lagrangians admitting global Euler–Lagrange morphisms. Our approach is based on the recent geometric formulation of the calculus of variations on finite order jets of fibered manifolds in terms of variational sequences.

Conservation laws for non-global Lagrangians

FERRARIS, Marco;FRANCAVIGLIA, Mauro;PALESE, Marcella
2003-01-01

Abstract

In the Lagrangian framework for symmetries and conservation laws of field theories, we investigate globality properties of conserved currents associated with non–global Lagrangians admitting global Euler–Lagrange morphisms. Our approach is based on the recent geometric formulation of the calculus of variations on finite order jets of fibered manifolds in terms of variational sequences.
2003
41
319
331
http://www.im.uj.edu.pl/actamath/toc.php?issue=41
fibered manifold; jet space; Lagrangian formalism; variational sequence; variational cohomology; ˇCech cohomology; symmetry; conservation laws
A. BOROWIEC; M. FERRARIS; M. FRANCAVIGLIA; M. PALESE
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/2318/22109
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