An extension of the Marsden-Ratiu reduction for Poisson manifolds

被引：11

作者：

Falceto, Fernando ^{[1
]}

Zambon, Marco ^{[2
]}

机构：

[1] Univ Zaragoza, Inst Biocomputac Fis Sistemas Complejos, Dept Fis Teor, E-50009 Zaragoza, Spain

[2] Ctr Recerca Matemat, Bellaterra 08193, Spain

来源：

LETTERS IN MATHEMATICAL PHYSICS | 2008年 / 85卷 / 2-3期

关键词：

Poisson manifolds; reduction;

D O I：

10.1007/s11005-008-0262-7

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We propose a generalization of the reduction of Poisson manifolds by distributions introduced by Marsden and Ratiu. Our proposal overcomes some of the restrictions of the original procedure, and makes the reduced Poisson structure effectively dependent on the distribution. Different applications are discussed, as well as the algebraic interpretation of the procedure and its formulation in terms of Dirac structures.

引用

页码：203 / 219

页数：17

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