On the trajectory ruled surfaces of framed base curves in the Euclidean space

被引：18
|
作者：
Yildiz, Onder Gokmen [1 ]
Akyigit, Mahmut [2 ]
Tosun, Murat [2 ]
机构：
[1] Bilecik Seyh Edebali Univ, Fac Arts & Sci, Dept Math, Bilecik, Turkey
[2] Sakarya Univ, Fac Arts & Sci, Dept Math, Sakarya, Turkey
来源：
MATHEMATICAL METHODS IN THE APPLIED SCIENCES | 2021年 / 44卷 / 09期
关键词：
framed curve; framed surface; singular point; trajectory ruled surface;
D O I：
10.1002/mma.6267
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we study trajectory ruled surface of a curve with singular points in the Euclidean 3-space as an application of singularity theory of a space curve with singular points. By considering notion of framed curve, we investigate the trajectory ruled surface and give some results about invariants of these surfaces. Then, we give some examples of trajectory ruled surfaces. Moreover, we determine local diffeomorphic image of these surfaces.
引用
收藏
页码：7463 / 7470
页数：8
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