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Minimal hypersurfaces of a positive scalar curvature manifold

✍ Scribed by Sebastião Almeida


Publisher
Springer-Verlag
Year
1985
Tongue
French
Weight
468 KB
Volume
190
Category
Article
ISSN
0025-5874

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Classification of pinched positive scala
✍ Ezequiel R. Barbosa 📂 Article 📅 2010 🏛 Elsevier Science 🌐 French ⚖ 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