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- W3100653976 abstract "We construct a lagrangian geometric formulation for first-order field theories using the canonical structures of first-order jet bundles, which are taken as the phase spaces of the systems in consideration. First of all, we construct all the geometric structures associated with a first-order jet bundle and, using them, we develop the lagrangian formalism, defining the canonical forms associated with a lagrangian density and the density of lagrangian energy, obtaining the Euler-Lagrange equations in two equivalent ways: as the result of a variational problem and developing the jet field formalism (which is a formulation more similar to the case of mechanical systems). A statement and proof of Noether's theorem is also given, using the latter formalism." @default.
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- W3100653976 date "1996-01-01" @default.
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- W3100653976 title "Geometry of Lagrangian First-order Classical Field Theories" @default.
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- W3100653976 doi "https://doi.org/10.1002/prop.2190440304" @default.
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