ON BI-INTEGRABLE NATURAL HAMILTONIAN SYSTEMS ON RIEMANNIAN MANIFOLDS

被引：20

作者：

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

机构：

[1] St Petersburg State Univ, Dept Computat Phys, St Petersburg 198504, Russia

来源：

JOURNAL OF NONLINEAR MATHEMATICAL PHYSICS | 2011年 / 18卷 / 02期

关键词：

Integrable system; Riemannian manifold; bi-hamiltonian geometry; VARIABLE SEPARATION; KILLING TENSORS; BIHAMILTONIAN STRUCTURES; POISSON BRACKETS; ORDER INTEGRALS; JACOBI EQUATION; TODA; SEPARABILITY;

D O I：

10.1142/S1402925111001507

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We introduce the concept of natural Poisson bivectors, which generalizes the Benenti approach to construction of natural integrable systems on Riemannian manifolds and allows us to consider almost the whole known zoo of integrable systems in framework of bi-hamiltonian geometry.

引用

页码：245 / 268

页数：24

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