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

页码：533 / 543

页数：11

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