On biconservative surfaces in 4-dimensional Euclidean space

被引：14

作者：

Sen, Ruya Yegin ^{[1
]}

Turgay, Nurettin Cenk ^{[2
]}

机构：

[1] Istanbul Medeniyet Univ, Fac Engn & Nat Sci, Dept Math, TR-34700 Istanbul, Turkey

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

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2018年 / 460卷 / 02期

关键词：

Biconservative surfaces; Parallel normalized mean curvature vectors; Meridian surfaces; DISTINCT PRINCIPAL CURVATURES; HYPERSURFACES;

D O I：

10.1016/j.jmaa.2017.12.009

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we study non-CMC biconservative surfaces with flat normal bundle in the Euclidean 4-space E-4. First, we determine locally all parallel normalized mean curvature vector (PNMCV) biconservative surfaces in E-4, showing that they are certain rotational surfaces. Then, we consider meridian surfaces lying on a rotational hypersurface of E-4 and construct a family of biconservative surfaces with flat normal bundle and non-parallel normalized mean curvature vector. (C) 2017 Elsevier Inc. All rights reserved.

引用

页码：565 / 581

页数：17

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