Variational calculus on Lie algebroids
数学物理
2007-05-23 v2 微分几何
math.MP
最优化与控制
摘要
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.
引用
@article{arxiv.math-ph/0603028,
title = {Variational calculus on Lie algebroids},
author = {Eduardo Martinez},
journal= {arXiv preprint arXiv:math-ph/0603028},
year = {2007}
}
备注
Small changes. Corrected typos