Nambu structures on four dimensional real Lie groups and related superintegrable systems
Mathematical Physics
2015-06-09 v5 math.MP
Abstract
We have determined all Nambu tensors (Nambu structures) of order four and three on four dimensional real Lie groups. Furthermore, we have obtained superintegrable systems by use of the Nambu structures of order four on some of these Lie groups as phase spaces with symmetry groups A4;8 and A4;10.
Cite
@article{arxiv.1206.1940,
title = {Nambu structures on four dimensional real Lie groups and related superintegrable systems},
author = {S. Farhang-Sardroodi and A. Rezaei-Aghdam and L. Sedghi-Ghadim},
journal= {arXiv preprint arXiv:1206.1940},
year = {2015}
}
Comments
21 pages, one section(include 7 pages)is added