Mannheim B-Curves in the Euclidean 3-SpaceE^3

Kuwait Journal of Science

Ayse Z. Azak¹  Melek Masal¹ 

[1] Sakarya University

关键词: Bishop frame;    Euclidean space;    Frenet frame;    Mannheim B-pair;    Mannheim B-curves;   

DOI  :  

学科分类：社会科学、人文和艺术（综合）

来源: Kuwait University * Academic Publication Council

【 摘 要 】

In this study we have defined Mannheim curves according to a Bishop frame and called Mannheim B-curves in the Euclidean 3-space E^3. Then the relations have been found between the Bishop and Frenet vectors of these curves and some conditions have been obtained which are Mannheim B-curves. Also the relation k_2^*=k_1/1+lambdak_1 has been obtained between the Bishop curvatures  of the Mannheim B-curves.

【 授权许可】

Unknown