A NOTE ON 2-PLECTIC HOMOGENEOUS MANIFOLDS

被引：0
|
作者：
Shafiee, Mohammad [1 ]
机构：
[1] Vali E Asr Univ Rafsanjan, Dept Math, Rafsanjan, Iran
来源：
JOURNAL OF GEOMETRIC MECHANICS | 2015年 / 7卷 / 03期
关键词：
2-plectic structure; homogeneous space;
D O I：
10.3934/jgm.2015.7.389
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this note we study the existence of 2-plectic structures on homogenous spaces. In particular we show that S-5 - SU(3)/SU(2), SU(3)/S-1, SU(3)/T-2 and SO(4)/S-1 admit a 2-plectic structure. Furthermore, If G is a Lie group with Lie algebra g and R is a closed Lie subgroup of G corresponding to the nilradical of g, then G/R is a 2-plectic manifold.
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页码：389 / 394
页数：6
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