Frenet Curve Couples in Three Dimensional Lie Groups  

作　　者：Osman Zeki Okuyucu 

机构地区：[1]Department of Mathematics,Faculty of Science and Arts,Bilecik Seyh Edebali University,Bilecik,Turkey

出　　处：《Computer Modeling in Engineering & Sciences》2022年第12期653-671,共19页工程与科学中的计算机建模（英文）

摘　　要：In this study,we examine the possible relations between the Frenet planes of any given two curves in three dimensional Lie groups with left invariant metrics.We explain these possible relations in nine cases and then introduce the conditions that must be met to coincide with the planes of these curves in nine theorems.

关 键 词：CURVES lie groups CURVATURES Frenet plane 

分 类 号：O17[理学—数学]