We investigate globality properties of conserved currents associated with local variational problems admitting global Euler--Lagrange morphisms. We show that the obstruction to the existence of a global conserved current is the difference of two conceptually independent cohomology classes: one coming from using the symmetries of the Euler--Lagrange morphism and the other from the system of local Noether currents.
Local variational problems and conservation laws
FERRARIS, Marco;PALESE, Marcella;WINTERROTH, Ekkehart Hans Konrad
2011-01-01
Abstract
We investigate globality properties of conserved currents associated with local variational problems admitting global Euler--Lagrange morphisms. We show that the obstruction to the existence of a global conserved current is the difference of two conceptually independent cohomology classes: one coming from using the symmetries of the Euler--Lagrange morphism and the other from the system of local Noether currents.
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