Some Characterizations of Translation Surface Generated by Spherical Indicatrices of Timelike Curves in Minkowski 3-space

被引：1
|
作者：
Yadav, Akhilesh [1 ]
Yadav, Ajay Kumar [1 ]
机构：
[1] Banaras Hindu Univ, Dept Math, Varanasi 221005, India
来源：
INTERNATIONAL ELECTRONIC JOURNAL OF GEOMETRY | 2023年 / 16卷 / 01期
关键词：
Tangent indicatrices; principal normal indicatrices; binormal indicatrices; timelike curves;
D O I：
10.36890/IEJG.1178802
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, we study translation surfaces generated by spherical indicatrices of timelike curves in Minkowski 3-space and find necessary and sufficient conditions for the translation surfaces to be flat or minimal. Further, we obtain necessary and sufficient conditions for generating curves of the translation surfaces to be geodesic, asymptotic line and line of curvature. Finally for such translation surfaces we obtain the axis when they are constant angle surfaces.
引用
收藏
页码：48 / 61
页数：14
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