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Hypersurfaces of Constant Curvature in Hyperbolic Space I

โœ Scribed by Bo Guan; Joel Spruck; Marek Szapiel


Book ID
107627507
Publisher
Springer-Verlag
Year
2009
Tongue
English
Weight
420 KB
Volume
19
Category
Article
ISSN
1050-6926

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๐Ÿ“œ SIMILAR VOLUMES


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