ON GENERALIZED BERTRAND CURVES IN EUCLIDEAN 3-SPACE

被引：2

作者：

Demir, Demet ^{[1
]}

Ilarslan, Kazim ^{[1
]}

机构：

[1] Kirikkale Univ, Fac Sci & Arts, Dept Math, TR-71450 Kirikkale, Turkiye

来源：

FACTA UNIVERSITATIS-SERIES MATHEMATICS AND INFORMATICS | 2023年 / 38卷 / 01期

关键词：

Bertrand curve; Euclidean; 3-space; Frenet vectors; curvature functions;

D O I：

10.22190/FUMI221215013D

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we generalize the notion of Bertrand curve in Euclidean 3-space analogously as in Minkowski 3-space. According to this generalization, the Bertrand curve conditions of a given space curve are obtained and the relations between Frenet vectors and curvature functions are revealed. A curve that meets the given condition is constructed as an example.

引用

页码：199 / 208

页数：10

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