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A gap theorem for hypersurfaces of the sphere with constant scalar curvature one

✍ Scribed by H. Alencar; M. do Carmo; W. Santos


Publisher
European Mathematical Society
Year
2002
Tongue
English
Weight
214 KB
Volume
77
Category
Article
ISSN
0010-2571

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πŸ“œ SIMILAR VOLUMES


A gap theorem for complete constant scal
✍ Aldir Brasil Jr.; A. Gervasio Colares; Oscar Palmas πŸ“‚ Article πŸ“… 2001 πŸ› Elsevier Science 🌐 English βš– 114 KB

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 ≀ C n ( R), where R = (R -1) > 0 and C n ( R) is a constant depending on