Vertical and horizontal lifts of multivector fields and applications
- Авторы: Mba A.1, Wamba P.1, Nimpa R.1
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Учреждения:
- Department of Mathematics
- Выпуск: Том 38, № 1 (2017)
- Страницы: 1-15
- Раздел: Article
- URL: https://journals.rcsi.science/1995-0802/article/view/198582
- DOI: https://doi.org/10.1134/S1995080217010140
- ID: 198582
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Аннотация
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.
Об авторах
A. Mba
Department of Mathematics
Автор, ответственный за переписку.
Email: alpmba@yahoo.fr
Камерун, Yaoundé
P. Wamba
Department of Mathematics
Email: alpmba@yahoo.fr
Камерун, Yaoundé
R. Nimpa
Department of Mathematics
Email: alpmba@yahoo.fr
Камерун, Yaoundé