Weighted minimal translation surfaces in the Galilean space with density

被引：13
|
作者：
Yoon, Dae Won [1 ,2 ]
机构：
[1] Gyeongsang Natl Univ, Dept Math Educ, Jinju 52828, South Korea
[2] Gyeongsang Natl Univ, RINS, Jinju 52828, South Korea
来源：
OPEN MATHEMATICS | 2017年 / 15卷
基金：
新加坡国家研究基金会;
关键词：
Galilean space; Translation surface; Weighted manifold; Weighted mean curvature; ISOPERIMETRIC PROBLEM; CURVATURE;
D O I：
10.1515/math-2017-0043
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Translation surfaces in the Galilean 3-space G(3) have two types according to the isotropic and non-isotropic plane curves. In this paper, we study a translation surface in G(3) with a log-linear density and classify such a surface with vanishing weighted mean curvature.
引用
收藏
页码：459 / 466
页数：8
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