On convex hypersurfaces in a space form
β Scribed by C. Baikoussis; Th. Koufogiorgos
- Publisher
- Springer Vienna
- Year
- 1988
- Tongue
- English
- Weight
- 278 KB
- Volume
- 106
- Category
- Article
- ISSN
- 0026-9255
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π SIMILAR VOLUMES
We give an estimate for the Ricci curvature of a complete hypersurface M in a hyperbolic space H and in a sphere S under the same condition. As its application, we give the condition for unboundedness of a complete hypersurface M.
## Abstract We investigate proper biharmonic hypersurfaces with at most three distinct principal curvatures in space forms. We obtain the full classification of proper biharmonic hypersurfaces in 4βdimensional space forms (Β© 2010 WILEYβVCH Verlag GmbH & Co. KGaA, Weinheim)
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