Dual pairs for non-abelian fluids
Symplectic Geometry
2023-02-02 v2 Differential Geometry
Abstract
This paper is a rigorous study of two dual pairs of momentum maps arising in the context of fluid equations whose configuration Lie group is the group of automorphism of a trivial principal bundle, generically called here non-abelian fluids. It is shown that the actions involved are mutually completely orthogonal, which directly implies the dual pair property.
Keywords
Cite
@article{arxiv.1304.5026,
title = {Dual pairs for non-abelian fluids},
author = {Francois Gay-Balmaz and Cornelia Vizman},
journal= {arXiv preprint arXiv:1304.5026},
year = {2023}
}
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26 pages