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

Kuwait Journal of Science

ALÄ° UCUM²  KAZIM Ä°LARSLAN²  OSMAN KEÇİLÄ°OÄžLU¹ 

[1] Department of Statistics, Faculty of Sciences and Arts, Kırıkkale University,71450 Yahsihan, Kırıkkale, TURKEY;Department of Mathematics, Faculty of Arts and Sciences, Kırıkkale University,71450 Yahsihan, Kırıkkale, TURKEY

关键词: Bertrand curve;    Minkowski space-time;    Frenet planes.;   

DOI  :  

学科分类：社会科学、人文和艺术（综合）

来源: Kuwait University * Academic Publication Council

【 摘 要 】

In this paper, we reconsider the (1,3)-Bertrand curves with respect to the casualcharacters of (1,3)-normal plane which is a plane spanned by the principal normal andthe second binormal vector fields of the given curve. Here, we restrict our investigationof (1,3)-Bertrand curves to the timelike (1,3)-normal plane in Minkowski spacetime.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 forthese curves.

【 授权许可】

Unknown