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

Jie Qing·Gang Tian
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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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BibTeXRIS

Jie Qing, Gang Tian. 2005-08-11. On the uniqueness of the foliation of spheres of constant mean curvature in asymptotically flat 3-manifolds. https://arxiv.org/abs/math/0506005

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