Foliation by Constant Mean Curvature Spheres on Asymptotically Flat Manifolds

Abstract

In this paper, the existence and uniqueness of foliations by constant mean curvature spheres on asymptotically flat manifolds of nonzero ADM mass in all dimensions were established. (A similar result in the case of positive mass was obtained independently by G. Huisken and S. T. Yau, see the introduction of this paper and their paper in Inv. Math.)

AMS-Tex. This paper has appeared in the volume "Geometric Analysis and Calculus of Variation" (dedicated to S. Hildebrandt on the occation of his 60th birthday, edit. J. Jost, Springer, 1996). For the convenience of readers, we post the paper here

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