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Positivity of quasi-local mass II

Chiu-Chu Melissa Liu Shing-Tung Yau

Mathematical Physics mathscidoc:1912.43519

Journal of the American Mathematical Society, 19, (1), 181-204, 2006
We prove the following stronger version of the positivity of quasi-local energy (mass) stated by Liu and Yau: the quasi-local energy of each connected component of the boundary of a compact spacelike hypersurface which satisfies the local energy condition is strictly positive unless the spacetime is flat along the spacelike hypersurface and the boundary of the spacelike hypersurface is connected.
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@inproceedings{chiu-chu2006positivity,
  title={Positivity of quasi-local mass II},
  author={Chiu-Chu Melissa Liu, and Shing-Tung Yau},
  url={http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20191224203757024421083},
  booktitle={Journal of the American Mathematical Society},
  volume={19},
  number={1},
  pages={181-204},
  year={2006},
}
Chiu-Chu Melissa Liu, and Shing-Tung Yau. Positivity of quasi-local mass II. 2006. Vol. 19. In Journal of the American Mathematical Society. pp.181-204. http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20191224203757024421083.
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