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Reduction in principal bundles: covariant Lagrange-Poincaré equations.

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Castrillón López, Marco y Ratiu, T. (2003) Reduction in principal bundles: covariant Lagrange-Poincaré equations. Communications in Mathematical Physics, 236 (2). pp. 223-250. ISSN 0010-3616

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URL Oficial: http://link.springer.com/article/10.1007%2Fs00220-003-0797-5


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Resumen

A general reduction theory for field theoretical Lagrangians on principal fiber bundles is presented. The reduced variational problem as well as the associated equations are formulated. The link between the solutions of the original problem and that of the reduced problem is discussed and an obstruction to the reconstruction of the solutions is isolated. The important case of semidirect products is discussed in detail and several concrete examples are presented.


Tipo de documento:Artículo
Palabras clave:principal bundles; reduction; reconstruction; Lagrange-Poincaré equations
Materias:Ciencias > Física > Física matemática
Ciencias > Matemáticas > Geometría diferencial
Código ID:23327
Depositado:22 Oct 2013 17:40
Última Modificación:12 Dic 2018 15:13

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