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A rigidity theorem for submanifolds inSn+pwith constant scalar curvature

✍ Scribed by Zhang Jian-feng

Publisher: SP Zhejiang University Press
Year: 2005
Tongue: English
Weight: 408 KB
Volume: 6
Category: Article
ISSN: 1009-3095
DOI: 10.1007/bf02842063

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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