UC Santa Cruz
On the uniqueness of the foliation of spheres of constant mean curvature in asymptotically flat 3-manifolds
- Author(s): Qing, Jie
- Tian, Gang
- et al.
In 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.