Deformation to positive scalar curvature on complete manifolds
β Scribed by Jerry L. Kazdan
- Publisher
- Springer
- Year
- 1982
- Tongue
- English
- Weight
- 415 KB
- Volume
- 261
- Category
- Article
- ISSN
- 0025-5831
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π SIMILAR VOLUMES
Conditions on the geometric structure of a complete Riemannian manifold are given to solve the prescribed scalar curvature problem. In some cases, the conformal metric obtained is complete. A minimizing sequence is constructed which converges strongly to a solution. Β© Academic des ScienceslElsevier,
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