9 citations · 16 across the 5 of their papers we have counts for
5 papers
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…
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…
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…
Automorphic representations and harmonic cochains for
Yacine Aït Amrane
Let be a global field of positive characteristic. Let be a fixed place of . This paper gives an explicit isomorphism between the space of automorphic forms (resp. c…
Cohomology of Drinfeld symmetric spaces and Harmonic cochains
Yacine Ait Amrane
Let K be a non-archimedean local field. This paper gives an explicit isomorphism between the dual of the special representation of GL_{n+1}(K)$and the space of harmonic cochains de…