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Classification of manifolds with weakly 1/4-pinched curvatures

โœ Scribed by Simon Brendle; Richard M. Schoen


Book ID
107382299
Publisher
Springer Netherlands
Year
2008
Tongue
English
Weight
256 KB
Volume
200
Category
Article
ISSN
0001-5962

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Classification of pinched positive scala
โœ Ezequiel R. Barbosa ๐Ÿ“‚ Article ๐Ÿ“… 2010 ๐Ÿ› Elsevier Science ๐ŸŒ French โš– 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