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Título:
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Parameter-invariant second-order variational problems in one variable
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Autores:
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Muñoz Masqué, Jaime ;
Pozo Coronado, Luis Miguel
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Tipo de documento:
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texto impreso
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Editorial:
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IOP science, 1998
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Dimensiones:
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application/pdf
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Nota general:
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info:eu-repo/semantics/restrictedAccess
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Idiomas:
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Palabras clave:
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Estado = Publicado
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Materia = Ciencias: Matemáticas: Geometría diferencial
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Tipo = Artículo
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Resumen:
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A projection is defined such that a second-order Lagrangian density factors through this projection module contact forms if and only if it is parameter invariant. In this way, a geometric interpretation of the parameter invariance conditions is obtained. The above projection is then used to prove the strict factorization of the Poincare-Cartan form attached to a parameter-invariant variational problem thus leading us to state the Hamilton-Cartan formalism, the complete description of symmetries and regularity for such problems. The case of the squared curvature Lagrangian in the plane is analysed especially.
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En línea:
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https://eprints.ucm.es/id/eprint/17496/1/Pozo07.pdf
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