Fibre derivatives: some applications to singular lagrangians
Mathematical Physics
2009-10-31 v1 Differential Geometry
math.MP
Abstract
The fibre derivative of a bundle map is studied in detail. In the particular case of a real function, several constructions useful to study singular lagrangians are presented. Some applications are given; in particular, a geometric construction useful to solve the Euler-Lagrange equation of a singular lagrangian. A free particle in a curved space-time is studied as an example.
Cite
@article{arxiv.math-ph/0007038,
title = {Fibre derivatives: some applications to singular lagrangians},
author = {Xavier Gracia},
journal= {arXiv preprint arXiv:math-ph/0007038},
year = {2009}
}
Comments
17 pages