Abstract： Let $(M^3, g)$ be an asymptotically flat 3-manifold with positive ADM mass. In this talk, we will discuss the isoperimetry in large scale for such manifolds and show that each leaf of the canonical foliation is the unique isoperimetric surface for the volume it encloses. Our proof is based on "fill-in" argument and sharp isoperimetric inequality on asymptotically flat 3-manifold with nonnegative scalar curvature.
Tencent Information:
https://meeting.tencent.com/s/l3nIBsfV0gnw
