Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
1894602 | Journal of Geometry and Physics | 2007 | 14 Pages |
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.
Related Topics
Physical Sciences and Engineering
Mathematics
Mathematical Physics
Authors
José F. Cariñena, Joana M. Nunes da Costa, PatrÃcia Santos,