The Chen type of Hasimoto surfaces in the Euclidean 3-space

被引：3

作者：

Al-Zoubi, Hassan ^{[1
]}

Senoussi, Bendehiba ^{[2
]}

Al-Sabbagh, Mutaz ^{[3
]}

Ozdemir, Mehmet ^{[3
]}

机构：

[1] Al Zaytoonah Univ Jordan, Dept Math, POB 130, Amman 11733, Jordan

[2] Ecole Normale Super, Dept Math, 45 Rue Ulm, Mostaganem 75230, Algeria

[3] Imam Abdulrahman Bin Faisal Univ, Dept Basic Engn Sci, Dammam 31441, Saudi Arabia

来源：

AIMS MATHEMATICS | 2023年 / 8卷 / 07期

关键词：

Hasimoto surface; Gauss map; Euclidean space; Beltrami-Laplace operator; surfaces of  finite type;

D O I：

10.3934/math.2023819

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A surface M2 with position vector r = r(s, t) is called a Hasimoto surface if the relation rt = rs perpendicular to rss holds. In this paper, we first define the Beltrami-Laplace operator according to the three fundamental forms of the surface, then we classify the J-harmonic Hasimoto surfaces and their Gauss map in E3, for J = II and III.

引用

页码：16062 / 16072

页数：11

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