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

Date: 
Thursday 29th September 2005 - 16:00 to 17:00
Venue: 
INI Seminar Room 2
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.

University of Cambridge Research Councils UK
    Clay Mathematics Institute London Mathematical Society NM Rothschild and Sons