Biharmonic PNMCV submanifolds in Euclidean 5-space

被引：5

作者：

Sen, Ruya ^{[1
]}

Turgay, Nurettin Cenk ^{[2
]}

机构：

[1] Istanbul Medeniyet Univ, Fac Engn & Nat Sci, Dept Math, Istanbul, Turkiye

[2] Istanbul Tech Univ, Fac Sci & Letters, Dept Math, Istanbul, Turkiye

来源：

TURKISH JOURNAL OF MATHEMATICS | 2023年 / 47卷 / 01期

关键词：

Biharmonic submanifolds; biconservative submanifolds; parallel normalized mean curvature vectors; HYPERSURFACES; SURFACES;

D O I：

10.55730/1300-0098.3361

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this article, we study 3-dimensional biconservative and biharmonic submanifolds of E5 with parallel normalized mean curvature vector (PNMCV). First, we prove that the principal curvartures and principal directions of biconservative PNMCV isometric immersions into E5 can be determined intrinsically. Then, we complete the proof of Chen's biharmonic conjecture for PNMCV submanifolds of E5 .

引用

页码：296 / 316

页数：22

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