A gap theorem for complete noncompact manifolds with nonnegative Ricci curvature (Q1607503)

The paper concerns the gap phenomena on non-maximal volume growth manifolds. Using the Yamabe flow the authors prove that if the Ricci curvature of a complete non-compact locally conformally flat manifold is nonnegative, the scalar curvature is bounded and decays faster than quadratic at infinity, then the manifold is flat.