Pedal Curves of Non-Lightlike Curves in Minkowski 3-Space

被引:4
|
作者
Li, Meixuan [1 ]
Yao, Kaixin [1 ]
Li, Pengcheng [1 ]
Pei, Donghe [1 ]
机构
[1] Northeast Normal Univ, Sch Math & Stat, Changchun 130024, Peoples R China
来源
SYMMETRY-BASEL | 2022年 / 14卷 / 01期
基金
中国国家自然科学基金;
关键词
pedal curve; singularity; B-Gauss map; Minkowski; 3-space; FRAMED CURVES; SINGULARITIES; FRONTS; GERMS;
D O I
10.3390/sym14010059
中图分类号
O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];
学科分类号
07 ; 0710 ; 09 ;
摘要
We study the notions of pedal curves, contrapedal curves and B-Gauss maps of non-lightlike regular curves in Minkowski 3-space. Then we establish the relationships among the evolutes, the pedal and contrapedal curves. Moreover, we also investigate the singularities of these objects. Finally, we show some examples to comprehend the characteristics of the pedal and contrapedal curves in Minkowski 3-space.
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页数:9
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