Applications of Nijenhuis geometry: non-degenerate singular points of Poisson-Nijenhuis structures

被引：8
|
作者：
Bolsinov, Alexey V. [1 ,2 ,3 ]
Konyaev, Andrey Yu. [2 ]
Matveev, Vladimir S. [4 ]
机构：
[1] Loughborough Univ, Dept Math Sci, Loughborough LE11 3TU, Leics, England
[2] Moscow MV Lomonosov State Univ, Fac Mech & Math, Moscow 119992, Russia
[3] Moscow Ctr Fundamental & Appl Math, Moscow, Russia
[4] Friedrich Schiller Univ Jena, Inst Math, D-07737 Jena, Germany
来源：
EUROPEAN JOURNAL OF MATHEMATICS | 2022年 / 8卷 / 04期
基金：
俄罗斯科学基金会;
关键词：
Nijenhuis tensor; Singular point; Compatible symplectic structures; Recursion operator; Bihamiltonian systems; Integrable systems;
D O I：
10.1007/s40879-020-00429-6
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We study and completely describe pairs of compatible Poisson structures near singular points of the recursion operator satisfying natural non-degeneracy condition.
引用
收藏
页码：1355 / 1376
页数：22
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