On the geometry of a Poisson-Lie algebroid

被引：0
|
作者：
Popescu, Liviu [1 ]
机构：
[1] Univ Craiova, Fac Sci, Dept Appl Math, 13 Al I Cuza St, Craiova 200585, Romania
来源：
BSG PROCEEDINGS 19 | 2012年 / 19卷
关键词：
Lie algebroids; Poisson manifolds; contravariant connections; MANIFOLDS; CONNECTIONS; HOLONOMY;
D O I：
暂无
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper we continue the study of the linear contravariant connections on Poisson-Lie algebroids. Some properties of the torsion and curvature tensors are investigated and the equations of the geodesic curves are pointed out. The compatibility conditions between the horizontal lift and the canonical Poisson bivector on the prolongation of a Lie algebroid to its dual bundle are given.
引用
收藏
页码：136 / 145
页数：10
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