UNIQUENESS OF THE FOLIATION OF CONSTANT MEAN CURVATURE SPHERES IN ASYMPTOTICALLY FLAT 3-MANIFOLDS

摘要

This paper studies the constant mean curvature surface in asymptotically flat 3-manifolds with general asymptotics. Under some weak conditions, the foliation of stable spheres of constant mean curvature is shown to be unique outside some compact set in the asymptotically flat 3-manifold with positive mass.