@ARTICLE{TBA, TITLE={[FORTHCOMING] Compatibility of a Jacobi structure and a Riemannian structure on a Lie algebroid}, AUTHOR={Yacine Aït Amrane , Ahmed Zeglaoui, }, JOURNAL={Advances in Pure and Applied Mathematics}, VOLUME={}, NUMBER={Forthcoming papers
}, YEAR={2024}, URL={https://www.openscience.fr/Compatibility-of-a-Jacobi-structure-and-a-Riemannian-structure-on-a-Lie}, DOI={TBA}, ISSN={1869-6090}, ABSTRACT={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.}}