Hawkins Compatibility Conditions on the Tangent Bundle of a Poisson-Lie Group

被引：0
|
作者：
Aloui, Foued [1 ]
Zaalani, Nadhem [2 ]
机构：
[1] Higher Sch Sci & Technol Hammam Sousse, St Lamine Abassi,BP 4011, Hammam Sousse, Tunisia
[2] Higher Inst Appl Sci & Technol Sousse, St Tahar Ben Achour,BP 4003, Sousse, Tunisia
来源：
JOURNAL OF LIE THEORY | 2018年 / 28卷 / 02期
关键词：
Poisson Geometry; Riemannian Geometry; Lie group and Lie algebra; MANIFOLDS; ALGEBRAS;
D O I：
暂无
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Let G be a Poisson-Lie group equipped with a left invariant Riemannian metric compatible with the Poisson structure on G. There are many ways to lift the Poisson structure and the metric to the tangent bundle TG of G. In this paper, we study in different cases the compatibility between the lifted Poisson structure and the lifted metric on TG.
引用
收藏
页码：499 / 524
页数：26
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