# 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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