Conformal mappings onto Einstein spaces

In the present paper we study conformal mappings of Riemannian manifolds onto an Einstein manifold for the minimal condition on the differentiability class of these manifolds. We show for which conditions the corresponding equations obtained by J. Mikeš, M. L. Gavril'chenko and E. I. Gladyscheva, which defined these mappings, are linear. We obtain the number of necessary parameters on which depends the general solution of fundamental system of equations.