Mathematics > Home > Advances in Pure and Applied Mathematics > Issue 1 (January 2025) > Article
Yacine Aït Amrane
USTHB
Algeria
Ahmed Zeglaoui
Université de Saida Dr Moulay Tahar
Algeria
Published on 20 January 2025 DOI : 10.21494/ISTE.OP.2025.1254
In a preceding paper we introduced a notion of compatibility between a Jacobi structure and a Riemannian structure on a smooth manifold. We proved that in the case of fundamental examples of Jacobi structures : Poisson structures, contact structures and locally conformally symplectic structures, we get respectively Riemann-Poisson structures in the sense of M. Boucetta, (1/2)-Kenmotsu structures and locally conformally Kähler structures. In this paper we are generalizing this work to the framework of Lie algebroids.
In a preceding paper we introduced a notion of compatibility between a Jacobi structure and a Riemannian structure on a smooth manifold. We proved that in the case of fundamental examples of Jacobi structures : Poisson structures, contact structures and locally conformally symplectic structures, we get respectively Riemann-Poisson structures in the sense of M. Boucetta, (1/2)-Kenmotsu structures and locally conformally Kähler structures. In this paper we are generalizing this work to the framework of Lie algebroids.
Jacobi structure Riemannian Poisson structure Kenmotsu structure Locally conformally Kähler structure Lie algebroid
Jacobi structure Riemannian Poisson structure Kenmotsu structure Locally conformally Kähler structure Lie algebroid