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

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

2010-12-15

arxiv.org/abs/1012.3231v2

Mathematics

Differential Geometry

36pages

Scientific paper

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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