Fibre derivatives: some applications to singular lagrangians

Details Fibre derivatives: some applications to singular lagrangians Fibre derivatives: some applications to singular lagrangians

2000-07-27

arxiv.org/abs/math-ph/0007038v1

Rept.Math.Phys. 45 (2000) 67-84

Physics

Mathematical Physics

17 pages

Scientific paper

10.1016/S0034-4877(00)88872-2

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.

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