Isoperimetry, scalar curvature, and mass in asymptotically flat Riemannian $3$-manifolds

Otis Chodosh, Michael Eichmair, Yuguang Shi +1

Let $(M,g)$ be an asymptotically flat Riemannian $3$-manifold with non-negative scalar curvature and positive mass. We show that each leaf of the canonical foliation through stabl…