Incompressible minimal surfaces, three-dimensional manifolds with nonnegative scalar curvature, and the positive mass conjecture in general relativity

Richard Schoen Shing-Tung Yau

Differential Geometry mathscidoc:1912.43549

Proceedings of the National Academy of Sciences, 75, (6), 2567-2567, 1978.6
We study three-dimensional Riemannian manifolds with nonnegative scalar curvature. We find new topological obstruction for such manifolds. Our method turns out to be useful in studying the positive mass conjecture in general relativity.
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@inproceedings{richard1978incompressible,
  title={Incompressible minimal surfaces, three-dimensional manifolds with nonnegative scalar curvature, and the positive mass conjecture in general relativity},
  author={Richard Schoen, and Shing-Tung Yau},
  url={http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20191224204000306088113},
  booktitle={Proceedings of the National Academy of Sciences},
  volume={75},
  number={6},
  pages={2567-2567},
  year={1978},
}
Richard Schoen, and Shing-Tung Yau. Incompressible minimal surfaces, three-dimensional manifolds with nonnegative scalar curvature, and the positive mass conjecture in general relativity. 1978. Vol. 75. In Proceedings of the National Academy of Sciences. pp.2567-2567. http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20191224204000306088113.
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