Some recent results about the existence and the physical role of Poincaré-Cartan forms in higher-order Lagrangian theories are reviewed. The notions of energy-density flow, energy-momentum tensors and the related superpotentials are discussed. It is also shown that Poincaré-Cartan forms help in constructing a generalized formalism à la ADM.
Applications of the Poincaré-Cartan form in higher order field theories
FERRARIS, Marco;FRANCAVIGLIA, Mauro
1987-01-01
Abstract
Some recent results about the existence and the physical role of Poincaré-Cartan forms in higher-order Lagrangian theories are reviewed. The notions of energy-density flow, energy-momentum tensors and the related superpotentials are discussed. It is also shown that Poincaré-Cartan forms help in constructing a generalized formalism à la ADM.
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