Compatible Lie-Poisson brackets on the Lie algebras e(3) and so(4)

被引：3

作者：

Tsyganov, A. V. ^{[1
]}

机构：

[1] St Petersburg State Univ, St Petersburg, Russia

来源：

THEORETICAL AND MATHEMATICAL PHYSICS | 2007年 / 151卷 / 01期

基金：

俄罗斯基础研究基金会;

关键词：

integrable system; bi-Hamiltonian manifold; Lie-Poisson tensor;

D O I：

10.1007/s11232-007-0034-z

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We completely classify the compatible Lie-Poisson brackets on the dual spaces of the Lie algebras e(3) and so(4). The corresponding bi-Hamiltonian systems are the spinning tops corresponding to the classical cases of integrability of the Euler equations, the Kirchhoff equations, and the Poincare-Zhukovskii equations.

引用

页码：459 / 473

页数：15

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