Reduction of a symplectic-like Lie algebroid with momentum map and its application to fiberwise linear Poisson structures

被引：11

作者：

Carlos Marrero, Juan ^{[1
]}

Padron, Edith ^{[1
]}

Rodriguez-Olmos, Miguel ^{[2
]}

机构：

[1] Univ La Laguna, Fac Matemat, Dept Matemat Fundamental, Unidad Asociada ULL CSIC, Tenerife, Canary Islands, Spain

[2] Univ Politecn Cataluna, Dept Matemat Aplicada 4, E-08028 Barcelona, Spain

来源：

JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL | 2012年 / 45卷 / 16期

关键词：

BIALGEBROIDS; MANIFOLDS;

D O I：

10.1088/1751-8113/45/16/165201

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

This paper addresses the problem of developing an extension of the Marsden-Weinstein reduction process to symplectic-like Lie algebroids, and in particular to the case of the canonical cover of a fiberwise linear Poisson structure, whose reduction process is the analog to cotangent bundle reduction in the context of Lie algebroids.

引用

页数：34

共 26 条

[1]

[Anonymous], 2007, Lecture Notes in Math.

[2]

[Anonymous], 1987, FDN MECH

[3] Reduction of Courant algebroids and generalized complex structures [J].