Complete manifolds with nonnegative scalar curvature and the positive action conjecture in general relativity

Richard M Schoen Shing-Tung Yau

Mathematical Physics mathscidoc:1912.43576

Proceedings of the National Academy of Sciences, 76, (3), 1024-1025, 1979.3
We find some integrability conditions for low-dimensional manifolds to admit metrics with nonnegative scalar curvature. In particular, we solve the positive action conjecture in general relativity in the affirmative.
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@inproceedings{richard1979complete,
  title={Complete manifolds with nonnegative scalar curvature and the positive action conjecture in general relativity},
  author={Richard M Schoen, and Shing-Tung Yau},
  url={http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20191224204153904565140},
  booktitle={Proceedings of the National Academy of Sciences},
  volume={76},
  number={3},
  pages={1024-1025},
  year={1979},
}
Richard M Schoen, and Shing-Tung Yau. Complete manifolds with nonnegative scalar curvature and the positive action conjecture in general relativity. 1979. Vol. 76. In Proceedings of the National Academy of Sciences. pp.1024-1025. http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20191224204153904565140.
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