【摘要】 设x:Mn→En+1为欧氏空间En+1的浸入超曲面,=xxt(t表示转置)为超曲面Mn的二次表示,□是平均曲率的线性算子。本文研究欧氏空间中二次表示满足□=B+C的超曲面,其中B和C是n+1阶常方阵。给出了一些分类结果。更多还原

【Abstract】 Let x:Mn→En+1 be an orientable hypersurface immersed into the Euclidean space.The map =xxt(t denot transpose) is called the quadric representation of Mn.It studies the hypersurface in En+1 which satisfy □=B+C,where □ is the linearized operator of the mean curvature of hypersurface,B and C are two constant matrices.更多还原