In the paper *Conformal Deformation of a Riemannian metric to a constant scalar curvature* of Richard Schoen (J. Differential Geom. 20(2) (1984) 479-495, doi:10.4310/jdg/1214439291), in the first page, it says that

"Note that the class of conformally flat manifolds of positive scalar curvature is closed under the operation of connected sum, and hence contains connected sums of spherical space forms with copies of $S^1\times S^{n-1}$."

My question is: Is there any other conformally flat manifold with positive scalar curvature which is not in these forms? Or the manifolds Schoen mentioned exhaust the list of all conformally flat manifolds of positive scalar curvature?