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Hypersurfaces with a constant support function in spaces of constant sectional curvature

โœ Scribed by Marcos Dajczer; Ruy Tojeiro


Publisher
Springer
Year
1993
Tongue
English
Weight
200 KB
Volume
60
Category
Article
ISSN
0003-889X

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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