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• W2009188227 abstract "We classify spacelike hypersurfaces of the de Sitter space S 1 n + 1 ( c ) with constant scalar curvature and with two principal curvatures. Moreover, we prove that if M n is a complete spacelike hypersurface with constant scalar curvature n ( n − 1 ) R and with two distinct principal curvatures such that the multiplicity of one of the principal curvatures is n − 1 , then R < ( n − 2 ) c / n . Additionally, we prove several rigidity theorems for such hypersurfaces." @default.
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• W2009188227 date "2007-12-01" @default.
• W2009188227 modified "2023-10-18" @default.
• W2009188227 title "On spacelike hypersurfaces with constant scalar curvature in the de Sitter space" @default.
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• W2009188227 doi "https://doi.org/10.1016/j.difgeo.2007.06.008" @default.
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