Hypersurfaces with constant scalar curvature in space forms
โ Scribed by Li Haizhong
- Publisher
- Springer
- Year
- 1996
- Tongue
- English
- Weight
- 290 KB
- Volume
- 305
- Category
- Article
- ISSN
- 0025-5831
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๐ SIMILAR VOLUMES
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
To each immersed complete space-like hypersurface M with constant normalized scalar curvature R in the de Sitter space S n+1 1 , we associate sup H 2 , where H is the mean curvature of M. It is proved that the condition sup H 2 โค C n ( R), where R = (R -1) > 0 and C n ( R) is a constant depending on