@ARTICLE{10.21494/ISTE.OP.2025.1254, 

TITLE={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={16}, 

NUMBER={Issue 1 (January 2025)}, 
	
YEAR={2025}, 

URL={https://www.openscience.fr/Compatibility-of-a-Jacobi-structure-and-a-Riemannian-structure-on-a-Lie}, 
	
DOI={10.21494/ISTE.OP.2025.1254}, 
	
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.}}