Compatibility of Riemannian structures and Jacobi structures
Differential Geometry
2019-11-13 v1
Abstract
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, 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 Kahler structures.
Keywords
Cite
@article{arxiv.1802.09019,
title = {Compatibility of Riemannian structures and Jacobi structures},
author = {Yacine Aït Amrane and Ahmed Zeglaoui},
journal= {arXiv preprint arXiv:1802.09019},
year = {2019}
}
Comments
English version, 15 pages