2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/75375In this note we study constant mean curvature surfaces in asymptotically flat 3-manifolds. We prove that, in an asymptotically flat 3-manifold with positive mass, stable spheres of given constant mean curvature outside a fixed compact subset are unique. Therefore we are able to conclude that there is a unique foliation of stable spheres of constant mean curvature in an asymptotically flat 3-manifold with positive mass.22 pagesDifferential GeometryMathematical Physics53C43, 58E20text