Linear Nijenhuis-Tensors and the Construction of Integrable Systems

Details Linear Nijenhuis-Tensors and the Construction of Integrable Systems Linear Nijenhuis-Tensors and the Construction of Integrable Systems

1997-09-04

arxiv.org/abs/physics/9709008v1

Physics

Mathematical Physics

8 pages, Latex

Scientific paper

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.

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