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

页码：10 / 27

页数：18

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