2-PLECTIC MANIFOLDS AND ITS RELATION WITH COURANT ALGEBROIDS

被引：0

作者：

Shafiee, M. ^{[1
]}

机构：

[1] Vali E Asr Univ Rafsanjan, Dept Math, Rafsanjan, Iran

来源：

INTERNATIONAL JOURNAL OF GEOMETRIC METHODS IN MODERN PHYSICS | 2012年 / 9卷 / 03期

关键词：

2-plectic manifold; 2-Lagrangian submanifold; Courant algebroid; extended action;

D O I：

10.1142/S0219887812500156

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

In this paper we study the relation between 2-plectic manifolds and Courant algebroids. We establish a relation between 2-Lagrangian submanifolds of 2-plectic manifolds and subbundles of Courant algebroids. Also we show that an action of a compact Lie group G on a 2-plectic manifold (M, omega) can be extended to an action of G on an exact Courant algebroid E over M if and only if G is a subgroup of Hamiltonian group of (M, omega).

引用

页数：10

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