Abstract
In this paper, by modifying Cheng--Yau's technique to complete spacelike hypersurfaces in the de Sitter ($n+1$)-space $S_{1}^{n+1}(1)$, we prove a rigidity under the hypothesis of the mean curvature and the normalized scalar curvature being linearly related. As a corollary, we have the Theorem 1.1 of [3].
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