Work

Variational calculus on Lie algebroids

Year: 2006
Type: preprint
Abstract: It is shown that the Euler-Lagrange 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 reduction and the relation with Lagrange multiplier method are also studied.
Language: English
Open Access status: green
OpenAlex ID: W2952485018
Cites: 12
Cited by: 2
Related to: 10