TY - Type of reference TI - Compatibility of a Jacobi structure and a Riemannian structure on a Lie algebroid AU - Yacine Aït Amrane AU - Ahmed Zeglaoui AB - 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. DO - 10.21494/ISTE.OP.2025.1254 JF - Advances in Pure and Applied Mathematics KW - 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, L1 - https://openscience.fr/IMG/pdf/iste_apam25v16n1_1.pdf LA - en PB - ISTE OpenScience DA - 2025/01/20 SN - 1869-6090 TT - Compatibilité d’une structure de Jacobi et une structure Riemannienne sur une algébroïde de Lie UR - https://openscience.fr/Compatibility-of-a-Jacobi-structure-and-a-Riemannian-structure-on-a-Lie IS - Issue 1 (January 2025) VL - 16 ER -