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arxiv: 1012.3231 · v2 · pith:YA556R24new · submitted 2010-12-15 · 🧮 math.DG

Uniqueness of the Foliation of Constant Mean Curvature Spheres in Asymptotically Flat 3-Manifolds

classification 🧮 math.DG
keywords asymptoticallyconstantcurvatureflatmeanfoliationmanifoldssome
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In this paper I study the constant mean curvature surface in asymptotically flat 3-manifolds with general asymptotics. Under some weak condition, I prove that outside some compact set in the asymptotically flat 3-manifold with positive mass, the foliation of stable spheres of constant mean curvature is unique.

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