Generalized Bertrand curves with timelike (1,3)-normal plane in Minkowski space-time

被引：0
|
作者：
Ucum, Ali [1 ]
Kecilioglu, Osman [2 ]
Ilarslan, Kazim [1 ]
机构：
[1] Kirikkale Univ, Fac Arts & Sci, Dept Math, TR-71450 Yahsihan, Kirikkale, Turkey
[2] Kirikkale Univ, Fac Sci & Arts, Dept Stat, TR-71450 Yahsihan, Kirikkale, Turkey
来源：
KUWAIT JOURNAL OF SCIENCE | 2015年 / 42卷 / 03期
关键词：
Bertrand curve; Minkowski space-time; Frenet planes; PSEUDO;
D O I：
暂无
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, we reconsider the (1,3)-Bertrand curves with respect to the casual characters of (1,3)-normal plane which is a plane spanned by the principal normal and the second binormal vector fields of the given curve. Here, we restrict our investigation of (1,3)-Bertrand curves to the timelike (1,3)-normal plane in Minkowski space-time. We obtain the necessary and sufficient conditions for the curves with timelike (1,3)-normal plane to be (1,3)-Bertrand curves and we give the related examples for these curves.
引用
收藏
页码：10 / 27
页数：18
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