Reduction of constrained systems with symmetries

Citation
F. Cantrijn et al., Reduction of constrained systems with symmetries, J MATH PHYS, 40(2), 1999, pp. 795-820
Citations number
43
Categorie Soggetti
Physics
Journal title
JOURNAL OF MATHEMATICAL PHYSICS
ISSN journal
00222488 → ACNP
Volume
40
Issue
2
Year of publication
1999
Pages
795 - 820
Database
ISI
SICI code
0022-2488(199902)40:2<795:ROCSWS>2.0.ZU;2-P
Abstract
A general model is proposed for constrained dynamical systems on a symplect ic manifold which covers, among others, the description of Lagrangian and H amiltonian systems with nonholonomic constraints and the canonical descript ion of mechanical systems with a singular Lagrangian. The reduction propert ies of these systems in the presence of symmetry are investigated within th is general framework. (C) 1999 American Institute of Physics. [S0022-2488(9 9)00902-0].