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A sphere theorem for pinching positive scalar curvature manifolds

✍ Scribed by Ezequiel R. Barbosa


Publisher
Elsevier Science
Year
2011
Tongue
English
Weight
135 KB
Volume
95
Category
Article
ISSN
0021-7824

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Classification of pinched positive scala
✍ 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