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New examples of manifolds with strictly positive curvature

✍ Scribed by J. -H. Eschenburg

Publisher
Springer-Verlag
Year
1982
Tongue
English
Weight
574 KB
Volume
66
Category
Article
ISSN
0020-9910

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πŸ“œ SIMILAR VOLUMES

Classification of pinched positive scala
Classification of pinched positive scalar curvature manifolds
✍ Ezequiel R. Barbosa πŸ“‚ Article πŸ“… 2010 πŸ› Elsevier Science 🌐 French βš– 143 KB

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