New Type Direction Curves in 3-Dimensional Compact Lie Group

被引：7
作者：
Cakmak, Ali [1 ]
机构：
[1] Bitlis Eren Univ, Fac Sci & Arts, Dept Math, TR-13000 Bitlis, Turkey
来源：
SYMMETRY-BASEL | 2019年 / 11卷 / 03期
关键词：
Lie group; rectifying-direction curve; osculating-direction curve; normal-direction curve; MANNHEIM PARTNER CURVES; HELICES;
D O I：
10.3390/sym11030387
中图分类号：
O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];
学科分类号：
07 ; 0710 ; 09 ;
摘要：
In this paper, new types of associated curves, which are defined as rectifying-direction, osculating-direction, and normal-direction, in a three-dimensional Lie group G are achieved by using the general definition of the associated curve, and some characterizations for these curves are obtained. Additionally, connections between the new types of associated curves and the curves, such as helices, general helices, Bertrand, and Mannheim, are given.
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页数：12
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