| Issue |
ESAIM: COCV
Volume 14, Number 2, April-June 2008
|
|
|---|---|---|
| Page(s) | 356 - 380 | |
| DOI | https://doi.org/10.1051/cocv:2007056 | |
| Published online | 20 March 2008 | |
Variational calculus on Lie algebroids
Departamento de Matemática Aplicada,
Facultad de Ciencias,
Universidad de Zaragoza,
50009 Zaragoza, Spain; emf@unizar.es
Received:
14
July
2006
It is shown that the Lagrange's equations for a Lagrangian system on a Lie algebroid are obtained as the equations for the critical points of the action functional defined on a Banach manifold of curves. The theory of Lagrangian reduction and the relation with the method of Lagrange multipliers are also studied.
Mathematics Subject Classification: 49S05 / 49K15 / 58D15 / 70H25 / 17B66 / 22A22
Key words: Variational calculus / Lagrangian mechanics / Lie algebroids / reduction of dynamical systems / Euler-Poincaré equations / Lagrange-Poincaré equations
© EDP Sciences, SMAI, 2008
Current usage metrics show cumulative count of Article Views (full-text article views including HTML views, PDF and ePub downloads, according to the available data) and Abstracts Views on Vision4Press platform.
Data correspond to usage on the plateform after 2015. The current usage metrics is available 48-96 hours after online publication and is updated daily on week days.
Initial download of the metrics may take a while.