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Reduction in principal bundles: covariant Lagrange-Poincaré equations.

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Castrillón López, Marco and 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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Official URL: http://link.springer.com/article/10.1007%2Fs00220-003-0797-5


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Abstract

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.


Item Type:Article
Uncontrolled Keywords:principal bundles; reduction; reconstruction; Lagrange-Poincaré equations
Subjects:Sciences > Physics > Mathematical physics
Sciences > Mathematics > Differential geometry
ID Code:23327
Deposited On:22 Oct 2013 17:40
Last Modified:12 Dec 2018 15:13

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