On the Quaternionic Normal Curves in the Euclidean Space

被引:0
|
作者
Yildiz, Onder Gokmen [1 ]
Karakus, Siddika Ozkaldi [1 ]
机构
[1] Bilecik Seyh Edebali Univ, Fac Sci, Dept Math, Bilecik, Turkiye
来源
THAI JOURNAL OF MATHEMATICS | 2024年 / 22卷 / 03期
关键词
normal curves; real quaternion; quaternionic curve; position vector; TIME-LIKE;
D O I
暂无
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
In this paper, we define the quaternionic normal curves in Euclidean 3-space E-3 and Euclidean 4-space E-4 .We obtain some characterizations of quaternionic normal curves in terms of their curvature functions. Moreover, we give necessary and sufficient condition for a quaternionic curves to be quaternionic normal curves in E-3 and E-4 respectively.
引用
收藏
页码:533 / 543
页数:11
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