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

Voir la notice de l'article provenant de la source Math-Net.Ru

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 
@article{TMF_2015_183_2_a5,
     author = {S. Farhang-Sardroodi and A. Rezaei-Aghdam and L. Sedghi-Ghadim},
     title = {Nambu structures on four-dimensional real {Lie} groups and related superintegrable systems},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {274--300},
     publisher = {mathdoc},
     volume = {183},
     number = {2},
     year = {2015},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_2015_183_2_a5/}
}
TY  - JOUR
AU  - S. Farhang-Sardroodi
AU  - A. Rezaei-Aghdam
AU  - L. Sedghi-Ghadim
TI  - Nambu structures on four-dimensional real Lie groups and related superintegrable systems
JO  - Teoretičeskaâ i matematičeskaâ fizika
PY  - 2015
SP  - 274
EP  - 300
VL  - 183
IS  - 2
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/TMF_2015_183_2_a5/
LA  - ru
ID  - TMF_2015_183_2_a5
ER  - 
%0 Journal Article
%A S. Farhang-Sardroodi
%A A. Rezaei-Aghdam
%A L. Sedghi-Ghadim
%T Nambu structures on four-dimensional real Lie groups and related superintegrable systems
%J Teoretičeskaâ i matematičeskaâ fizika
%D 2015
%P 274-300
%V 183
%N 2
%I mathdoc
%U http://geodesic.mathdoc.fr/item/TMF_2015_183_2_a5/
%G ru
%F TMF_2015_183_2_a5
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/