Abstract
A submanifold M r n of a semi-Euclidean space E s m is said to have harmonic mean curvature vector field if Δ H → = 0 → , where H → denotes the mean curvature vector; submanifolds with harmonic mean curvature vector are also known as biharmonic submanifolds. In this paper, we prove that every nondegenerate hypersurface of E s 4 the shape operator of which is diagonalizable, with harmonic mean curvature vector field, is minimal.
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