Classification of pinched positive scala
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Ezequiel R. Barbosa
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Article
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2010
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Elsevier Science
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French
β 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