2/25/2005

Jie Qing
University of California at Santa Cruz

On the uniqueness of the spheres of constant mean curvature at the asymptotically flat end

The uniqueness of spheres of constant mean curvature is a very important issue in understanding the structure of asymptotically flat manifolds. The unique foliation of spheres of constant mean curvature at an asymptotically flat end with positive mass is considered as an intrinsic structure of the end and may also be used to define mathematically a center of the mass. In this talk we will prove the uniqueness of spheres of constant mean curvature at asymptotically flat ends with positive mass.