A slow and careful Legendre transformation for singular Lagrangians
Mathematical Physics
2007-05-23 v1 Differential Geometry
math.MP
Abstract
A comparative analysis of two different versions of the Legendre transformation is presented. We provide an almost complete although somewhat superficial review of the geometric background for analytical mechanics. Complete coordinate characterizations of all structures are provided. Intrinsic constructions of most of the objects are given. Examples of applications to a number of physical systems is given
Keywords
Cite
@article{arxiv.math-ph/9909029,
title = {A slow and careful Legendre transformation for singular Lagrangians},
author = {Wlodzimierz M. Tulczyjew and Pawel Urbanski},
journal= {arXiv preprint arXiv:math-ph/9909029},
year = {2007}
}
Comments
50 pages, LamsTeX. To appear in Acta Physica Polonica