Linear Nijenhuis-Tensors and the Construction of Integrable Systems
Winterhalder, Axel
arXiv, 9709008 / Harvested from arXiv
Text on arXiv
A new method to construct Hamiltonian functions in involution is presented. We show that on left-symmetric algebras a Nijenhuis-tensor is given in a natural manner by the usual right-multiplication. Furthermore we prove that symplectic Lie-algebras carry the structure of a Poisson-Nijenhuis manifold.
Publié le : 1997-09-04
Classification:  Mathematical Physics,  Nonlinear Sciences - Exactly Solvable and Integrable Systems 
@article{9709008,
     author = {Winterhalder, Axel},
     title = {Linear Nijenhuis-Tensors and the Construction of Integrable Systems},
     journal = {arXiv},
     volume = {1997},
     number = {0},
     year = {1997},
     language = {en},
     url = {http://dml.mathdoc.fr/item/9709008}
}

Winterhalder, Axel. Linear Nijenhuis-Tensors and the Construction of Integrable Systems. arXiv, Tome 1997 (1997) no. 0, . http://gdmltest.u-ga.fr/item/9709008/