### Abstract

In a series of papers, Q. S. Chi, S. A. Merkulov, L. J. Schwachhöfer, M. Cahen and S. Gutt developed a technique for proving the existence of torsion-free connection with prescribed curvature on a G-structure. They noticed that in many cases it was possible to use the desired curvature to deform the Lie-Poisson structure on the semi-direct product of the Lie algebra of G with R^n, obtain…