A FEDOSOV STAR PRODUCT OF THE WICK TYPE FOR KAHLER-MANIFOLDS

In this Letter we compute some elementary properties of the Fedosov st ar product of Weyl type, such as symmetry and order of differentiation . Moreover, we define the notion of a star product of the Wick type on every Kahler manifold by a straightforward generalization of the corr esponding star product in C-n : the corresponding sequence of bidiffer ential operators differentiates its first argument in holomorphic dire ctions and its second argument in antiholomorphic directions. By a Fed osov type procedure, we give an existence proof of such star products for any Kahler manifold.