Vertical and horizontal lifts of multivector fields and applications
- 作者: Mba A.1, Wamba P.1, Nimpa R.1
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隶属关系:
- Department of Mathematics
- 期: 卷 38, 编号 1 (2017)
- 页面: 1-15
- 栏目: Article
- URL: https://journals.rcsi.science/1995-0802/article/view/198582
- DOI: https://doi.org/10.1134/S1995080217010140
- ID: 198582
如何引用文章
详细
Let Q be a smoothmanifold of dimension n ≥ 1. In this paper,we define the vertical lift of multivector fields from Q to T Q and we give some applications in the Poisson geometry. In particular we describe the structure of singular foliation induced by the vertical lift of Poisson structures defined below. On the other hand, given a second order vector field on Q, we defined the horizontal lift of multivector fields from Q to TQ and we study some properties.
作者简介
A. Mba
Department of Mathematics
编辑信件的主要联系方式.
Email: alpmba@yahoo.fr
喀麦隆, Yaoundé
P. Wamba
Department of Mathematics
Email: alpmba@yahoo.fr
喀麦隆, Yaoundé
R. Nimpa
Department of Mathematics
Email: alpmba@yahoo.fr
喀麦隆, Yaoundé