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Conservation laws for non global Lagrangians

A. Borowiec, M. Ferraris, M. Francaviglia, M. Palese

math-pharXiv:math-ph/0301043

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.

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