Tulczyjew triples in the constrained dynamics of strings
Mathematical Physics
2017-01-17 v1 Differential Geometry
math.MP
Abstract
We show that there exists a natural Tulczyjew triple in the dynamics of objects for which the standard kinematic configuration space , i.e. the tangent bundle, is replaced with its -th exterior power, i.e. the bundle of tangent -vectors. In this framework, which is fully covariant, we geometrically derive phase equations, as well as Euler-Lagrange equations, including nonholonomic constraints into the picture. Dynamics of strings and a constrained Plateau problem in statics are particular cases of this framework.
Keywords
Cite
@article{arxiv.1509.07977,
title = {Tulczyjew triples in the constrained dynamics of strings},
author = {Janusz Grabowski and Katarzyna Grabowska and Pawel Urbanski},
journal= {arXiv preprint arXiv:1509.07977},
year = {2017}
}
Comments
14 pages. arXiv admin note: text overlap with arXiv:1401.6970