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Rigidity Theorem of Hypersurfaces with Constant Scalar Curvature in a Unit Sphere

โœ Scribed by Guo Xin Wei


Publisher
Institute of Mathematics, Chinese Academy of Sciences and Chinese Mathematical Society
Year
2006
Tongue
English
Weight
178 KB
Volume
23
Category
Article
ISSN
1439-7617

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A gap theorem for complete constant scal
โœ Aldir Brasil Jr.; A. Gervasio Colares; Oscar Palmas ๐Ÿ“‚ Article ๐Ÿ“… 2001 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 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 โ‰ค C n ( R), where R = (R -1) > 0 and C n ( R) is a constant depending on