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
收藏
页码：565 / 581
页数：17
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