Foliation by Constant Mean Curvature Spheres on Asymptotically Flat Manifolds

Details Foliation by Constant Mean Curvature Spheres on Asymptotically Flat Manifolds Foliation by Constant Mean Curvature Spheres on Asymptotically Flat Manifolds

1997-09-25

arxiv.org/abs/dg-ga/9709020v1

Mathematics

Differential Geometry

AMS-Tex. This paper has appeared in the volume "Geometric Analysis and Calculus of Variation" (dedicated to S. Hildebrandt on

Scientific paper

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.)

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