数学杂志2026，Vol.46Issue(1)：1-19,19.
六维伪黎曼空间型中的λ-双调和超曲面
λ-BIHARMONIC HYPERSURFACES IN 6-DIMENSIONAL PSEUDO-RIEMANNIAN SPACE FORMS
摘要
Abstract
In this paper,we study λ-biharmonic hypersurfaces M5r of 6-dimensional pseudo-Riemannian space form N6p(c)with the indexs 0 ≤ p ≤ 6,r=p-1 orp,and constant curvature c.It was proved that if the shape operator of M5r is diagonalizable,then the mean curvature is a constant.As an application,we find some types of biharmonic hypersurfaces of N6p(c)are minimal.关键词
λ-双调和超曲面/伪黎曼空间型/常平均曲率/形状算子/极小Key words
λ-biharmonic hypersurface/pseudo-Riemannian space form/constant mean cur-vature/shape operator/minimal分类
数理科学引用本文复制引用
段珍萍,杨超,刘建成,陈佳蕊..六维伪黎曼空间型中的λ-双调和超曲面[J].数学杂志,2026,46(1):1-19,19.基金项目
Supported by National Natural Science Foundation of China(12161078),Foun-dation for Innovative Fundamental Research Group Project of Gansu Province(24JRRA778)and Project of Northwest Normal University(20240010). （12161078）
