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GMR

Seminar

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

Qing, J (UCSC)
Thursday 29 September 2005, 16:00-17:00

Seminar Room 2, Newton Institute Gatehouse

Abstract

We study constant mean curvature surfaces in asymptotically flat 3-manifolds. We prove that, outside a given compact subset in an asymptotically flat 3-manifold with positive mass, stable spheres of given constant mean curvature 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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