Singular Lagrangian Systems on Jet Bundles
数学物理
2016-08-16 v1 微分几何
math.MP
辛几何
摘要
The jet bundle description of time-dependent mechanics is revisited. The constraint algorithm for singular Lagrangians is discussed and an exhaustive description of the constraint functions is given. By means of auxiliary connections we give a basis of constraint functions in the Lagrangian and Hamiltonian sides. An additional description of constraints is also given considering at the same time compatibility, stability and second-order condition problems. Finally, a classification of the constraints in first and second class is obtained using a cosymplectic geometry setting. Using the second class constraints, a Dirac bracket is introduced, extending the well-known construction by Dirac.
引用
@article{arxiv.math-ph/0105012,
title = {Singular Lagrangian Systems on Jet Bundles},
author = {M. de León and J. Marín-Solano and J. C. Marrero and M. C. Muñoz-Lecanda and N. Román-Roy},
journal= {arXiv preprint arXiv:math-ph/0105012},
year = {2016}
}
备注
65 pages. LaTeX file