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.
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页码：165 / 176
页数：12
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