Compatibility betwenn pseudo-riemannian structure and Poisson structure
arXiv:math/0110117
Abstract
We will introduce two notions of compatibility bettwen pseudo-Riemannian metric and Poisson structure using the notion of contravariant connection introduced by Fernandes R. L., we will study some proprities of manifold endowed with such compatible structures an we will give some examples.
8 pages, to appear in C.R.A.S