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Stability of constant mean curvature hypersurfaces of revolution in hyperbolic space

โœ Scribed by JLELI, Mohamed


Book ID
121333569
Publisher
Elsevier Science
Year
2013
Tongue
English
Weight
299 KB
Volume
33
Category
Article
ISSN
0252-9602

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Hypersurfaces with constant mean curvatu
โœ Jean-Marie Morvan; Wo Bao-Qiang ๐Ÿ“‚ Article ๐Ÿ“… 1996 ๐Ÿ› Springer ๐ŸŒ English โš– 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