Routh reduction for first-order field theories
arXiv:1807.03668 · doi:10.1007/s11005-018-1140-6
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.
v2: a few references added, some typos corrected