On conformally flat manifolds with constant positive scalar curvature
  We classify compact conformally flat $n$-dimensional manifolds with constant positive scalar curvature and satisfying an optimal integral pinching condition: they are covered isometrically by either $\mathbb{S}^{n}$ with the round metric, $\mathbb{S}^{1}\times \mathbb{S}^{n-1}$ with the product metric or $\mathbb{S}^{1}\times \mathbb{S}^{n-1}$ with a rotationally symmetric Derdzi\'nski metric. 
Giovanni Catino
math.DG