A classification of biconservative hypersurfaces in a pseudo-Euclidean space

被引：16

作者：

Upadhyay, Abhitosh ^{[1
,2
]}

Turgay, Nurettin Cenk ^{[3
]}

机构：

[1] Harish Chandra Res Inst, Chhatnag Rd, Allahabad 211019, Uttar Pradesh, India

[2] Amity Univ, Amity Inst Appl Sci, Sect 125, Noida 201303, Uttar Pradesh, India

[3] Istanbul Tech Univ, Fac Sci & Letters, Dept Math, TR-34469 Istanbul, Turkey

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2016年 / 444卷 / 02期

关键词：

Null 2-type submanifolds; Biharmonic submanifolds; Biconservative hypersurfaces; Pseudo-Euclidean space; DISTINCT PRINCIPAL CURVATURES; BIHARMONIC HYPERSURFACES; SURFACES; SUBMANIFOLDS;

D O I：

10.1016/j.jmaa.2016.07.053

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we study biconservative hypersurfaces of index 2 in q. We give the complete classification of biconservative hypersurfaces with diagonalizable shape operator with exactly three distinct principal curvatures. We also give an explicit example of biconservative hypersurfaces with four distinct principal curvatures. (C) 2016 Elsevier Inc. All rights reserved.

引用

页码：1703 / 1720

页数：18

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