Lagrangian Reduction on Homogeneous Spaces with Advected Parameters
Mathematical Physics
2015-01-30 v2 Differential Geometry
math.MP
Abstract
We study the Euler-Lagrange equations for a parameter dependent -invariant Lagrangian on a homogeneous -space. We consider the pullback of the parameter dependent Lagrangian to the Lie group , emphasizing the special invariance properties of the associated Euler-Poincar\'e equations with advected parameters.
Keywords
Cite
@article{arxiv.1408.3019,
title = {Lagrangian Reduction on Homogeneous Spaces with Advected Parameters},
author = {Cornelia Vizman},
journal= {arXiv preprint arXiv:1408.3019},
year = {2015}
}