On the geometry of compatible Poisson and Riemannian structures
Symplectic Geometry
2017-09-11 v1
Abstract
We consider compatibility conditions between Poisson and Riemannian structures on smooth manifolds by means of a contravariant partially complex structure, or -structure, introducing the notion of (almost) K\"ahler--Poisson manifolds. In addition, we study some of their properties under structure preserving maps and symmetries.
Cite
@article{arxiv.1709.02525,
title = {On the geometry of compatible Poisson and Riemannian structures},
author = {Nicolás Martínez Alba and Andrés Vargas},
journal= {arXiv preprint arXiv:1709.02525},
year = {2017}
}