On the near-equality case of the positive mass theorem
On the near-equality case of the positive mass theorem
The positive mass conjecture states that any complete asymptotically flat manifold of nonnnegative scalar curvature has nonnegative mass. Moreover, the equality case of the positive mass conjecture states that in the above situation, if the mass is zero, then the Riemannian manifold must be Euclidean space. The positive mass conjecture …