Hypersurfaces with constant mean curvatu
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Jean-Marie Morvan; Wo Bao-Qiang
📂
Article
📅
1996
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Springer
🌐
English
⚖ 895 KB
In this article, we prove the following theorem: A complete hypersurface of the hyperbolic space form, which has constant mean curvature and non-negative Ricci curvature Q, has non-negative sectional curvature. Moreover, if it is compact, it is a geodesic distance sphere; if its soul is not reduced