About the separability of completely integrable quasi-bi-Hamiltonian systems with compact levels

被引：4
|
作者：
Boualem, H. [1 ]
Brouzet, R. [1 ,2 ]
Rakotondralambo, J. [3 ]
机构：
[1] Univ Montpellier 2, CNRS, I3M, UMR 5149, F-34095 Montpellier 5, France
[2] Univ Nimes, EMIAN, F-30021 Nimes 1, France
[3] Univ Antananarivo, Fac Sci, Dept Math & Informat, Antananarivo, Madagascar
来源：
DIFFERENTIAL GEOMETRY AND ITS APPLICATIONS | 2008年 / 26卷 / 06期
关键词：
Bi-Hamiltonian systems; Quasi-bi-Hamiltonian systems; Action-angle coordinates; Liouville torus; Arnold-Liouville integrability; omega N-manifolds; Separability;
D O I：
10.1016/j.difgeo.2008.04.008
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We Study completely integrable quasi-bi-Hamiltonian systems whose common level surfaces are compact and prove in particular their separability in the sense of Falqui and Pedroni. (C) 2008 Elsevier B.V. All rights reserved.
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页码：583 / 591
页数：9
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