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Existence of constant mean curvature graphs in hyperbolic space

✍ Scribed by Rafael López; Sebastián Montiel


Publisher
Springer
Year
1999
Tongue
English
Weight
90 KB
Volume
8
Category
Article
ISSN
0944-2669

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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