Research Communication | Open Access
Volume 2021 | Communication ID 122
Volume 2021 | Communication ID 122
| Riemannian Poisson Lie algebroids |
Ahmed Zeglaoui, Yacine AÏt Amrane
Received |
Accepted |
Published |
January 28, 2021 |
February 15, 2021 |
March 15, 2021 |
Abstract: In [1, 2], M. Boucetta introduced a notion of compatibility between a Poisson structure and a Riemannian structure on a smooth manifold, he called such a pair of compatible structures a Riemann-Poisson structure. By now, the Poisson structure and the Riemannian structure have been considered on a Lie algebroid see [3, 4]. The goal of the present work is to generalize the notion of Riemann-Poisson manifold to the framework of Lie algebroids. We call the new structure thus obtained, a Riemannian Poisson Lie algebroid.