QUASI FOCAL CURVES OF ADJOINT CURVES OF TIMELIKE CURVES IN 3D MINKOWSKI SPACE

被引：0
|
作者：
Korpinar, Talat [1 ]
Sazak, Ahmet [1 ]
Korpinar, Zeliha [2 ]
机构：
[1] MusAlparslan Univ, Dept Math, TR-49250 Mus, Turkey
[2] MusAlparslan Univ, Dept Adm, TR-49250 Mus, Turkey
来源：
JOURNAL OF SCIENCE AND ARTS | 2022年 / 02期
关键词：
quasi frame; 3D Minkowski space; adjoint curve; focal curve; focal curvature; BIHARMONIC PARTICLES; INEXTENSIBLE FLOWS; FRENET CURVE; ENERGY; FRAME; VERSION;
D O I：
10.46939/J.Sci.Arts-22.2-a14
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 work, we obtain new results by examining the adjoint curve and focal curve, which are examples of associated curves. In particular, we examine the focal curve of the adjoint curve of a timelike curve we have described with quasi-frame(Q-frame) elements in 3D Minkowski space M-1(3). We first characterize the focal curves of adjoint curves by considering the Q -frame in M-1(3). Next, we determine the focal curvatures of this curve. In the last section, we give some results by obtaining the focal curve in M-1(3) in terms of principal curve and adjoint curve.
引用
收藏
页码：407 / 412
页数：6
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