We consider scalar field theory in the D-dimensional space with nontrivial metric and local action functional of the most general form. For this model it is possible to construct a generalization of the renormalization procedure and the RG-equations. In the fixed point the diffeomorphism and Weyl transformations generate an infinite algebraic structure of D-dimensional conformal field theory models. The Wilson expansion and crossing symmetry enable us to obtain sum rules for dimensions of composite operators and Wilson coefficients.