Curvature Estimates in Asymptotically Flat Manifolds of Positive Scalar Curvature

Abstract

We consider an asymptotically flat Riemannian spin manifold of positive scalar curvature. An inequality is derived which bounds the Riemann tensor in terms of the total mass and quantifies in which sense curvature must become small when the total mass tends to zero.

11 pages, LaTeX (published version)