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Existence of prescribed mean curvature graphs in hyperbolic space

✍ Scribed by Pál-Andrej Nitsche


Publisher
Springer
Year
2002
Tongue
English
Weight
153 KB
Volume
108
Category
Article
ISSN
0025-2611

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Hypersurfaces with constant mean curvatu
✍ Jean-Marie Morvan; Wo Bao-Qiang 📂 Article 📅 1996 🏛 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