Complete and non-compact conformally flat manifolds with constant scalar curvature (Q1176342)

The authors study noncompact, complete, simply connected Riemannian manifolds with constant scalar curvature, whose Ricci tensor is positive semidefinite and \(L^ 4\) summable. Assuming in addition that the manifold is conformally flat (or, Kähler and Bochner-flat), they show that it then must be isometric to a real or complex Euclidean space.