Manifolds of positive scalar curvature and conformal cobordism theory
β Scribed by K. Akutagawa; B. Botvinnik;
- Publisher
- Springer
- Year
- 2002
- Tongue
- English
- Weight
- 226 KB
- Volume
- 324
- Category
- Article
- ISSN
- 0025-5831
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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
Non-compact conformally flat manifolds with constant scalar curvature and noncompact Kaehler manifolds with vanishing Bochner curvature are studied and classified. ## 1. Introduction The following theorems are well known: THEOREM A ([6]). Let M be a compact conformally fiat Riemannian manifold wit