Routh reduction and Cartan mechanics
Mathematical Physics
2017-01-04 v2 math.MP
Abstract
In the present work a Cartan mechanics version for Routh reduction is considered, as an intermediate step toward Routh reduction in field theory. Motivation for this generalization comes from an scheme for integrable systems [12], used for understanding the occurrence of Toda field theories in so called Hamiltonian reduction of WZNW field theories [11]. As a way to accomplish with this intermediate aim, this article also contains a formulation of the Lagrangian Adler-Kostant-Symes systems discussed in [12] in terms of Routh reduction.
Keywords
Cite
@article{arxiv.1606.02630,
title = {Routh reduction and Cartan mechanics},
author = {Santiago Capriotti},
journal= {arXiv preprint arXiv:1606.02630},
year = {2017}
}
Comments
46 pages, comments are welcome. Version 2 contains an additional section concerning reduced equations of motion in quasicoordinates