Classification of proper biharmonic hypersurfaces in pseudo-Riemannian space forms

被引：11

作者：

Liu, Jiancheng ^{[1
]}

Du, Li ^{[1
,2
]}

机构：

[1] Northwest Normal Univ, Coll Math & Stat, Lanzhou 730070, Gansu, Peoples R China

[2] Dingxi Teachers Coll, Dept Math, Dingxi 743000, Gansu, Peoples R China

来源：

DIFFERENTIAL GEOMETRY AND ITS APPLICATIONS | 2015年 / 41卷

基金：

中国国家自然科学基金;

关键词：

Proper biharmonic hypersurfaces; Pseudo-Riemannian space forms; Diagonalizable shape operator; Principal curvatures; SUBMANIFOLDS;

D O I：

10.1016/j.difgeo.2015.05.001

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we give some examples of proper biharmonic hypersurfaces in de Sitter space S-q(n+1)(c) and anti-de Sitter space H-q(n+1)(c), and prove a classification theorem of nondegenerate proper biharmonic hypersurfaces with diagonalizable shape operator and at most two distinct principal curvatures in pseudo-Riemannian space forms N-q(n+1) (c). (C) 2015 Elsevier B.V. All rights reserved.

引用

页码：110 / 122

页数：13

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