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

被引:0
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作者
Alexey V. Bolsinov
Andrey Yu. Konyaev
Vladimir S. Matveev
机构
[1] Loughborough University,Department of Mathematical Sciences
[2] Moscow State University,Faculty of Mechanics and Mathematics
[3] Moscow Center for Fundamental and Applied Mathematics,undefined
[4] Institut für Mathematik,undefined
[5] Friedrich Schiller Universität Jena,undefined
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关键词
Nijenhuis tensor; Singular point; Compatible symplectic structures; Recursion operator; Bihamiltonian systems; Integrable systems; 37J35; 53D20; 53D22; 70G45; 70H06;
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摘要
We study and completely describe pairs of compatible Poisson structures near singular points of the recursion operator satisfying natural non-degeneracy condition.
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页码:1355 / 1376
页数:21
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