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- W2024429674 abstract "In this paper, we classify complete spacelike hypersurfaces in the anti-de Sitter space H 1 n + 1 ( − 1 ) ( n ⩾ 3 ) 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 also obtain several rigidity theorems for such hypersurfaces." @default.
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- W2024429674 date "2011-12-01" @default.
- W2024429674 modified "2023-10-18" @default.
- W2024429674 title "On spacelike hypersurfaces with constant scalar curvature in the anti-de Sitter space" @default.
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- W2024429674 doi "https://doi.org/10.1016/j.difgeo.2011.08.002" @default.
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