Linear Nijenhuis-Tensors and the Construction of Integrable Systems

Thumbnail Image

Date

Authors

Journal Title

Journal ISSN

Volume Title

Publisher

Abstract

Description

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.
8 pages, Latex

Keywords

Mathematical Physics, Exactly Solvable and Integrable Systems

Citation

URI

http://salesiana.dossiersoluciones.com/handle/123456789/173314

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/physics/9709008
 http://arxiv.org/abs/physics/9709008

Collections

arXiv