Timelike Curves of Constant Breadth According to Bishop Frame in Minkowski 3-Space

被引:0
作者
Hüseyin Kocayiğit
Muhammed Çetin
Mehmet Çetin Evirgen
机构
[1] Celal Bayar University,Department of Mathematics, Faculty of Sciences
来源
Iranian Journal of Science and Technology, Transactions A: Science | 2017年 / 41卷
关键词
Curve of constant breadth; Differential characterizations of curve; Bishop frame; Minkowski space; Timelike curve;
D O I
暂无
中图分类号
学科分类号
摘要
In this study, the timelike curves of constant breadth according to Bishop frame in Minkowski 3-space are investigated. The differential equations characterizing the timelike curves of constant breadth in E13 are given. In addition, it is shown that the timelike curves of constant breadth are related to slant helix in Minkowski 3-space E13.
引用
收藏
页码:45 / 49
页数:4
相关论文
共 26 条
[1]  
Akdoğan Z(2001)Some characterization of curves of constant breadth in Turk J Math 25 433-444
[2]  
Mağden A(1930) space Am Math Mon 37 348-353
[3]  
Ball NH(1860)On ovals J Math Pures Appl 2 273-286
[4]  
Barbier E(1975)Note sur le probléme de I’aiguille et le jeu du joint couvert Am Math Mon 82 246-251
[5]  
Bishop RL(2008)There is more than one way to frame a curve Tamkang J Math 39 255-262
[6]  
Bükcü B(1780)On the slant helices according to Bishop frame of the timelike curve in Lorentzian space Acta Acad Petropol 1778 3-30
[7]  
Karacan MK(1914)De curvis triangularibus Tohoku Math J 5 180-184
[8]  
Euler L(1955)On space curves of constant breadth Proced Am Math Soc 6 333-334
[9]  
Fujiwara M(1995)Constant breadth curves in the plane IEEE Trans Vis Comput Graph 1 164-174
[10]  
Hammer PC(2008)Quaternion frame approach to streamline visualization SDÜ Fen Edebiyat Fakültesi, Fen Dergisi (E-Dergi) 3 80-90