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Routh Reduction for Singular Lagrangians



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Langerock, Bavo y Castrillón López, Marco (2010) Routh Reduction for Singular Lagrangians. Int. J. Geom. Methods Mod. Phys, 7 (8). pp. 1451-1489. ISSN 0219-8878

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This paper concerns the Routh reduction procedure for Lagrangians systems with symmetry. It differs from the existing results on geometric Routh reduction in the fact that no regularity conditions on either the Lagrangian L or the momentum map JL are required apart from the momentum being a regular value of JL. The main results of this paper are: the description of a general Routh reduction procedure that preserves the Euler-Lagrange nature of the original
system and the presentation of a presymplectic framework for Routh reduced systems. In addition, we provide a detailed description and interpretation of the Euler-Lagrange equa-tions for the reduced system. The proposed procedure includes Lagrangian systems with a non-positively definite kinetic energy metric.

Tipo de documento:Artículo
Palabras clave:constrained Lagrangian systems; momentum map; reduction; Routhian; singular Lagrangians; symmetry; symplectic form
Materias:Ciencias > Matemáticas > Geometría diferencial
Código ID:21388
Depositado:16 May 2013 15:46
Última Modificación:27 Jul 2018 09:13

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