Reduction of Lagrangian mechanics on Lie algebroids

JOURNAL OF GEOMETRY AND PHYSICS

卷:57

Article

Carinena, Jose F. ; Nunes da Costa, Joana M. ; Santos, Patricia

关键词: reduction;    Lie algebroids;    Lagrangian mechanics;   

DOI  :  10.1016/j.geomphys.2006.08.001

来源: Elsevier

【 摘 要 】

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. (c) 2006 Elsevier B.V. All rights reserved.

【 授权许可】

Free