On the structure of manifolds with positive scalar curvature
β Scribed by R. Schoen; S. T. Yau
- Publisher
- Springer
- Year
- 1979
- Tongue
- English
- Weight
- 763 KB
- Volume
- 28
- Category
- Article
- ISSN
- 0025-2611
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
Let (M n , g), n 3, be a smooth closed Riemannian manifold with positive scalar curvature R g . There exists a positive constant C = C(M, g) defined by mean curvature of Euclidean isometric immersions, which is a geometric invariant, such that R g n(n -1)C. In this paper we prove that R g = n(n -1)C
We prove that any metric of positive scalar curvature on a manifold X extends to the trace of any surgery in codim > 2 on X to a metric of positive scalar curvature which is product near the boundary. This provides a direct way to construct metrics of positive scalar curvature on compact manifolds w