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

2010/12/15 by Shiguang Ma, Ma, Shiguang · 1 citation
Mathematics · #Differential Geometry (math.DG) #FOS: Mathematics #math.DG

paper · pdf · doi:10.48550/arxiv.1012.3231

36pages

arxiv created 2010/12/17 · arxiv updated 2010/12/21

Abstract

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.

Cited by

• On the radius pinching estimate and uniqueness of the CMC foliation in asymptotically flat 3-manifolds

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