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https://hdl.handle.net/10316/4384
Title: | Reduction of Lagrangian mechanics on Lie algebroids | Authors: | Cariñena, José F. Costa, Joana M. Nunes da Santos, Patrícia |
Keywords: | Reduction; Lie algebroids; Lagrangian mechanics | Issue Date: | 2007 | Citation: | Journal of Geometry and Physics. 57:3 (2007) 977-990 | Abstract: | We prove that if a surjective submersion which is a homomorphism of Lie algebroids is given, then there exists another homomorphism between the corresponding prolonged Lie algebroids and a relation between the dynamics on these Lie algebroid prolongations is established. We also propose a geometric reduction method for dynamics on Lie algebroids defined by a Lagrangian and the method is applied to regular Lagrangian systems with nonholonomic constraints. | URI: | https://hdl.handle.net/10316/4384 | DOI: | 10.1016/j.geomphys.2006.08.001 | Rights: | openAccess |
Appears in Collections: | FCTUC Física - Artigos em Revistas Internacionais |
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