A contribution to the global formulation of the higher-order Poincaré-Cartan form |
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| Authors: | Manuel De León Paulo R Rodrigues |
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| Institution: | (1) Consejo Superior de Investigaciones Científicas, CECIME, Serrano 123, 28006 Madrid, Spain;(2) Departmento de Geometria, Instituto de Matemática, Universidade Federal Fluminense, 24.000 Niterói, RJ, Brazil |
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| Abstract: | The global formulation of the higher-order Poincaré-Cartan form for Lagrangian field theories in the calculus of variations is re-examined in terms of the theory of lifts of tensor fields on a manifold to its higher-order prolongated jet bundles.Partially supported by CNPq, Brazil, Proc. MA 30.1115/79. |
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| Keywords: | Poincaré -Cartan form calculus of variations lifting of tensor fields almost tangent geometry |
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