On the uniqueness of the foliation of spheres of constant mean curvature in asymptotically flat 3-manifolds
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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.

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