On generalized osculating-type curves in Myller configuration

被引:0
|
作者
Isbilir, Zehra [1 ]
Tosun, Murat [1 ,2 ]
机构
[1] Sakarya Univ, Dept Math, TR-54187 Sakarya, Turkiye
[2] Duzce Univ, Dept Math, TR-81620 Duzce, Turkiye
关键词
Myller configuration; osculating-type curve; versor field; RECTIFYING CURVES; EXPLICIT CHARACTERIZATION; TIME-LIKE; SPACE; NULL; PSEUDO;
D O I
10.2478/auom-2024-0020
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
In this study, we examine osculating-type curves with Frenet-type frame in Myller configuration for Euclidean 3-space E-3. We present the necessary characterizations for a curve to be an osculating-type curve. Characterizations originating from the natural structure of Myller configuration are a generalization of osculating curves according to the Frenet frame. Also, we introduce some new results that are not valid for osculating curves. Then, we give an illustrative numerical example supported by a figure.
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页码:85 / 98
页数:14
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