Fibre derivatives:: Some applications to singular lagrangians

被引：11
作者：
Gràcia, X [1 ]
机构：
[1] Univ Politecn Catalunya, Dept Matemat Aplicada & Telemat, ES-08034 Barcelona, Spain
来源：
REPORTS ON MATHEMATICAL PHYSICS | 2000年 / 45卷 / 01期
关键词：
fibre derivative; bundle map; vertical bundle; singular lagrangian; stabilisation algorithm;
D O I：
10.1016/S0034-4877(00)88872-2
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
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 for a singular lagrangian. A free particle in a curved space-time is studied as an example.
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页码：67 / 84
页数：18
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