ON GENERALIZED BERTRAND CURVES IN EUCLIDEAN 3-SPACE

Facta Universitatis. Series Mathematics and Informatics

article

Demet Demir¹  Kazım İlarslan² 

[1] Kırıkkale University Faculty of Science and Arts Department of Mathematics Kırıkkale;Kırıkkale University Faculty of Sciences and Arts Department of Mathematics

关键词: Bertrand curve;    Euclidean 3-space;    Frenet vectors;    curvature functions.;   

DOI  :  10.22190/FUMI221215013D

学科分类：社会科学、人文和艺术（综合）

来源: Univerzitet u Nishu / University of Nis

【 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.

【 授权许可】

Unknown