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Definition of center of mass for isolated physical systems and unique foliations by stable spheres with constant mean curvature

Gerhard Huisken Shing-Tung Yau

Mathematical Physics mathscidoc:1912.43491

Inventiones mathematicae, 124, 281-311, 1996.1
In the description of isolated gravitating systems in General Relativity a spacelike timeslice has the structure of a complete Riemannian three-manifold with an asymptotically at end. Let (N; g) denote an end of such a complete Riemannian three-manifold, ie N is diffeomorphic to R3\B1 (0), and the metric on N asymptotically approaches the Euclidean metric near infinity: gij=
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@inproceedings{gerhard1996definition,
  title={Definition of center of mass for isolated physical systems and unique foliations by stable spheres with constant mean curvature},
  author={Gerhard Huisken, and Shing-Tung Yau},
  url={http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20191224203558515927055},
  booktitle={Inventiones mathematicae},
  volume={124},
  pages={281-311},
  year={1996},
}
Gerhard Huisken, and Shing-Tung Yau. Definition of center of mass for isolated physical systems and unique foliations by stable spheres with constant mean curvature. 1996. Vol. 124. In Inventiones mathematicae. pp.281-311. http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20191224203558515927055.
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