Ruled surfaces obtained by infinitesimal bendings of curves in Minkowski 3-space

被引：0
|
作者：
Han, Hyelim [1 ]
Shin, An Sook [1 ]
Jang, Youngsong [1 ]
机构：
[1] Yonsei Univ, Dept Math, 50 Yonsei Ro, Seoul 03722, South Korea
来源：
INTERNATIONAL JOURNAL OF GEOMETRIC METHODS IN MODERN PHYSICS | 2024年
基金：
新加坡国家研究基金会;
关键词：
Infinitesimal bending field; timelike curve; lightlike curve; ruled surface; developable surface;
D O I：
10.1142/S0219887824502554
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
In this paper, we define a ruled surface obtained by an infinitesimal bending of a curve in Minkowski 3-space. We also characterize such ruled surfaces according to causal characters of the curve. Furthermore, we find appropriate conditions of ruled surfaces obtained by infinitesimal bendings of curves to be (lightlike) developable, in particular, cylindrical or conical in Minkowski 3-space, with examples presented.
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页数：19
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