Routh reduction for first-order field theories
Mathematical Physics
2018-12-05 v2 math.MP
Abstract
We present a reduction theory for first order Lagrangian field theories which takes into account the conservation of momenta. The relation between the solutions of the original problem with a prescribed value of the momentum and the solutions of the reduced problem is established. An illustrative example is discussed in detail.
Keywords
Cite
@article{arxiv.1807.03668,
title = {Routh reduction for first-order field theories},
author = {S. Capriotti and E. García-Toraño Andrés},
journal= {arXiv preprint arXiv:1807.03668},
year = {2018}
}
Comments
v2: a few references added, some typos corrected