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Existence an regularity of constant mean curvature hypersurfaces in hyperbolic space

✍ Scribed by Yoshihiro Tonegawa


Book ID
110596658
Publisher
Springer-Verlag
Year
1996
Tongue
French
Weight
994 KB
Volume
221
Category
Article
ISSN
0025-5874

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Hypersurfaces with constant mean curvatu
✍ Jean-Marie Morvan; Wo Bao-Qiang πŸ“‚ Article πŸ“… 1996 πŸ› Springer 🌐 English βš– 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