Linear Poisson structures on R^4
Differential Geometry
2015-05-13 v4 Mathematical Physics
math.MP
Abstract
We classify all of the 4-dimensional linear Poisson structures of which the corresponding Lie algebras can be considered as the extension by a derivation of 3-dimensional unimodular Lie algebras. The affine Poisson structures on R^3 are totally classified.
Cite
@article{arxiv.0707.2870,
title = {Linear Poisson structures on R^4},
author = {Yunhe Sheng},
journal= {arXiv preprint arXiv:0707.2870},
year = {2015}
}
Comments
14 pages, no figure