A new geometric setting for classical field theories
Mathematical Physics
2016-09-07 v1 Differential Geometry
math.MP
Abstract
A new geometrical setting for classical field theories is introduced. This description is strongly inspired in the one due to Skinner and Rusk for singular lagrangians systems. For a singular field theory a constraint algorithm is developed that gives a final constraint submanifold where a well-defined dynamics exists. The main advantage of this algorithm is that the second order condition is automatically included.
Cite
@article{arxiv.math-ph/0202012,
title = {A new geometric setting for classical field theories},
author = {M. de Leon and J. C. Marrero and D. Martin de Diego},
journal= {arXiv preprint arXiv:math-ph/0202012},
year = {2016}
}
Comments
22 pages