Abstract :
In this paper, by modifying Cheng-Yau′s technique to complete hypersurfaces in Sn+1(1), we prove a rigidity theorem under the hypothesis of the mean curvature and the normalized scalar curvature being linearly related which improve the result of [H. Li, Hypersurfaces with constant scalar curvature in space forms, Math. Ann.} {305} (1996), 665--672].
