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math.DG2019
Compatibility of a Jacobi structure and a Riemannian structure on a Lie algebroid
Yacine Aït Amrane, Ahmed Zeglaoui
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 e…
math.DG2018★ 1 cited
Compatibility of Riemannian structures and Jacobi structures
Yacine Aït Amrane, Ahmed Zeglaoui
We give a notion of compatibility between a Riemannian structure and a Jacobi structure. We prove that in case of fundamental examples of Jacobi structures : Poisson structures, co…
math.DG2013★ 9 cited
Warped Poisson Brackets on Warped Products
Yacine Aït Amrane, Rafik Nasri, Ahmed Zeglaoui
In this paper, we generalize the geometry of the product pseudo-Riemannian manifold equipped with the product Poisson structure (\cite{Nas2}) to the geometry of a warped product of…