Geodesic
Nambu structures on four-dimensional real Lie groups and related superintegrable systems
Teoretičeskaâ i matematičeskaâ fizika, Tome 183 (2015) no. 2, pp. 274-300 Cet article a éte moissonné depuis la source Math-Net.Ru

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We determine all third- and fourth-order Nambu tensors (Nambu structures) on four-dimensional real Lie groups. In addition, we obtain superintegrable systems using the fourth-order Nambu structures on some of these Lie groups as phase spaces with the symmetry groups $\mathbf A_{4,8}$ and $\mathbf A_{4,10}$.
Mots-clés : Nambu structure, Lie group.
Keywords: superintegrable system 
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S. Farhang-Sardroodi; A. Rezaei-Aghdam; L. Sedghi-Ghadim. Nambu structures on four-dimensional real Lie groups and related superintegrable systems. Teoretičeskaâ i matematičeskaâ fizika, Tome 183 (2015) no. 2, pp. 274-300. http://geodesic.mathdoc.fr/item/TMF_2015_183_2_a5/

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