The Isoperimetric Inequality on Asymptotically Flat Manifolds with Nonnegative Scalar Curvature
The Isoperimetric Inequality on Asymptotically Flat Manifolds with Nonnegative Scalar Curvature
In this note, we consider the isoperimetric inequality on an asymptotically flat manifold with nonnegative scalar curvature and improve it by using Hawking mass. We also obtain a rigidity result when equality holds for the classical isoperimetric inequality on an asymptotically flat manifold with nonnegative scalar curvature.