【摘要】 本文研究了具有常截曲率c的六维伪黎曼空间型N_p~6(c)(指标0≤p≤6)中的λ-双调和超曲面M_r~5 (其中r=p-1或p),证明了当超曲面M_r~5的形状算子可对角化时,其平均曲率必为常数.应用该结论,我们证得N_p~6(c)中的一类双调和超曲面必定是极小的.更多还原

【Abstract】 In this paper,we study λ-biharmonic hypersurfaces M_r~5 of 6-dimensional pseudoRiemannian space form N_p~6(c) with the indexs 0≤p≤6,r=p-1 or p,and constant curvature c.It was proved that if the shape operator of M_r~5 is diagonalizable,then the mean curvature is a constant.As an application,we find some types of biharmonic hypersurfaces of N_p~6(c) are minimal.更多还原