On the uniqueness of the foliation of spheres of constant mean curvature in asymptotically flat 3-manifolds
Skip to main content
eScholarship
Open Access Publications from the University of California

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.
Abstract

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.

Many UC-authored scholarly publications are freely available on this site because of the UC's open access policies. Let us know how this access is important for you.

Main Content
Current View