Poisson Brackets with Prescribed Casimirs

被引：9
|
作者：
Damianou, Pantelis A. [1 ]
Petalidou, Fani [1 ]
机构：
[1] Univ Cyprus, Dept Math & Stat, CY-1678 Nicosia, Cyprus
来源：
CANADIAN JOURNAL OF MATHEMATICS-JOURNAL CANADIEN DE MATHEMATIQUES | 2012年 / 64卷 / 05期
关键词：
Poisson bracket; Casimir function; almost symplectic structure; almost cosymplectic structure; TODA LATTICE; SYSTEMS;
D O I：
10.4153/CJM-2011-082-2
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We consider the problem of constructing Poisson brackets on smooth manifolds M with prescribed Casimir functions. If M is of even dimension, we achieve our construction by considering a suitable almost symplectic structure on M, while, in the case where M is of odd dimension, our objective is achieved using a convenient almost cosymplectic structure. Several examples and applications are presented.
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收藏
页码：991 / 1018
页数：28
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