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Foliation by Constant Mean Curvature Spheres on Asymptotically Flat Manifolds

Rugang Ye
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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.)

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BibTeXRIS

Rugang Ye. 1997-09-25. Foliation by Constant Mean Curvature Spheres on Asymptotically Flat Manifolds. https://arxiv.org/abs/dg-ga/9709020

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