Second variational derivatives of local variational problems and conservation laws
Second variational derivatives of local variational problems and conservation laws
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.
- University of Turin Italy
jet space, second variational derivative, Sheaf cohomology in algebraic topology, Lagrangian formalism, fibered manifold, conservation law, cohomology, Fiber bundles in algebraic topology, variational sequence, Jets in global analysis, Variational principles in infinite-dimensional spaces, de Rham theory in global analysis, symmetry
jet space, second variational derivative, Sheaf cohomology in algebraic topology, Lagrangian formalism, fibered manifold, conservation law, cohomology, Fiber bundles in algebraic topology, variational sequence, Jets in global analysis, Variational principles in infinite-dimensional spaces, de Rham theory in global analysis, symmetry
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