Translation Surfaces of the Third Fundamental Form in Lorentz-Minkowski Space

被引：1

作者：

Senoussi, Bendehiba ^{[1
]}

Bekkar, Mohammed ^{[2
]}

机构：

[1] Ecole Normale Super, Dept Math, Mostaganem, Algeria

[2] Univ Oran, Fac Sci, Dept Math, Es Senia, Algeria

来源：

IRANIAN JOURNAL OF MATHEMATICAL SCIENCES AND INFORMATICS | 2022年 / 17卷 / 01期

关键词：

Surfaces of coordinate finite type; Translation surfaces; Laplace operator;

D O I：

10.52547/ijmsi.17.1.165

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper we study translation surfaces with the non-degenerate third fundamental form in Lorentz-Minkowski space L-3. As a result, we classify translation surfaces satisfying an equation in terms of the position vector field and the Laplace operator with respect to the third fundamental form III on the surface.

引用

页码：165 / 176

页数：12

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