Enviar artigo por via de e-mail Vertical and horizontal lifts of multivector fields and applications
- Autores: Mba A.1, Wamba P.1, Nimpa R.1
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Afiliações:
- Department of Mathematics
- Edição: Volume 38, Nº 1 (2017)
- Páginas: 1-15
- Seção: Article
- URL: https://journals.rcsi.science/1995-0802/article/view/198582
- DOI: https://doi.org/10.1134/S1995080217010140
- ID: 198582
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Resumo
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.
Sobre autores
A. Mba
Department of Mathematics
Autor responsável pela correspondência
Email: alpmba@yahoo.fr
Camarões, Yaoundé
P. Wamba
Department of Mathematics
Email: alpmba@yahoo.fr
Camarões, Yaoundé
R. Nimpa
Department of Mathematics
Email: alpmba@yahoo.fr
Camarões, Yaoundé
