dorsal/arxiv
View SchemaLinear Nijenhuis-Tensors and the Construction of Integrable Systems
| Authors | Axel Winterhalder |
|---|---|
| Categories | |
| ArXiv ID | physics/9709008 |
| URL | https://arxiv.org/abs/physics/9709008 |
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.
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"abstract": "A new method to construct Hamiltonian functions in involution is presented.\nWe show that on left-symmetric algebras a Nijenhuis-tensor is given in a\nnatural manner by the usual right-multiplication. Furthermore we prove that\nsymplectic Lie-algebras carry the structure of a Poisson-Nijenhuis manifold.",
"arxiv_id": "physics/9709008",
"authors": [
"Axel Winterhalder"
],
"categories": [
"math-ph",
"math.MP",
"nlin.SI",
"solv-int"
],
"title": "Linear Nijenhuis-Tensors and the Construction of Integrable Systems",
"url": "https://arxiv.org/abs/physics/9709008"
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