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Second variational derivative of local variational problems and conservation laws. (English) Zbl 1265.58008
The paper deals with topological aspects of conserved quantities which arise in correspondence of symmetries in field theories. Noether’s theorem is local in its nature; in the paper the more general problem of finding global conservation laws is addressed when there is no global Lagrangian to a given variational form.

58E30 Variational principles in infinite-dimensional spaces
55N30 Sheaf cohomology in algebraic topology
55R10 Fiber bundles in algebraic topology
58A12 de Rham theory in global analysis
58A20 Jets in global analysis