Linear Nijenhuis-Tensors and the Construction of Integrable Systems
Mathematical Physics
2008-11-06 v1 math.MP
Exactly Solvable and Integrable Systems
solv-int
Abstract
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.
Keywords
Cite
@article{arxiv.physics/9709008,
title = {Linear Nijenhuis-Tensors and the Construction of Integrable Systems},
author = {Axel Winterhalder},
journal= {arXiv preprint arXiv:physics/9709008},
year = {2008}
}
Comments
8 pages, Latex