Compatibility of a Jacobi structure and a Riemannian structure on a Lie algebroid
Differential Geometry
2019-11-13 v1
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 K\"ahler structures. In this paper we are generalizing this work to the framework of Lie algebroids.
Keywords
Cite
@article{arxiv.1911.04980,
title = {Compatibility of a Jacobi structure and a Riemannian structure on a Lie algebroid},
author = {Yacine Aït Amrane and Ahmed Zeglaoui},
journal= {arXiv preprint arXiv:1911.04980},
year = {2019}
}
Comments
29 pages. arXiv admin note: text overlap with arXiv:1802.09019