مشخصات پژوهش

In this paper, biharmonic Hopf hypersurfaces in the complex Euclidean space Cn+1and in the odd dimensional sphereS2n+1are considered. We prove that the biharmonic Hopf hypersurfaces inCn+1are minimal. Also,we determine that the Weingarten operator a biharmonic pseudo-Hopf hypersurface in the unit sphereS2n+1has exactly two distinct principal curvatures at each point if the gradient of the mean curvature belongs to D⊥, and thus is an open part of the Clifford hypersurfaceSn1(1/√2)×Sn2(1/√2), wheren1+n2= 2n.