On the structure of manifolds with positive scalar curvature

@article{Schoen1979OnTS,
  title={On the structure of manifolds with positive scalar curvature},
  author={Richard M. Schoen and Shing-Tung Yau},
  journal={manuscripta mathematica},
  year={1979},
  volume={28},
  pages={159-183}
}
Publisher Summary This chapter discusses some recent results by Richard Schoen and Shing-Tung Yau on the structure of manifolds with positive scalar curvature. The chapter presents theorems which are felt to provide a more complete picture of manifolds with positive scalar curvature: (1) let M be a compact four-dimensional manifold with positive scalar curvature. Then there exists no continuous map with non-zero degree onto a compact K(π,1). (2) Let M be n-dimensional complete manifold with non… 
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References

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A multi-purpose handle-directed, manually propelled wheeled vehicle particularly well adapted for safe snow removal, load carrying, and similar labor saving tasks in rough and uncertain terrain; in
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We extend our previous method of proving the positive-mass conjecture to prove the positive-action conjecture of Hawking for asymptotically Euclidean metric. This result is crucial in proving the
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  • R. Schoen, S. Yau
  • Mathematics
    Proceedings of the National Academy of Sciences of the United States of America
  • 1978
TLDR
This work finds new topological obstruction for three-dimensional Riemannian manifolds with nonnegative scalar curvature and turns out to be useful in studying the positive mass conjecture in general relativity.
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