On the Assocıated Curves of a Frenet Curve in R_1^4

Cumhuriyet Science Journal

article

Esra ÇİÇEK ÇETİN¹  Mehmet BEKTA޲  Münevver Yıldırım YILMAZ² 

[1] fırat üniversitesi;FIRAT ÜNİVERSİTESİ

关键词: Frenet curve;    Associated curve;    Principal -direction curve;    B_1-direction curve;    B_2- direction curve;   

DOI  :  10.17776/csj.885772

学科分类：工程和技术（综合）

来源: Cumhuriyet University

【 摘 要 】

In the present work, we have dealt with the properties of associated curves of a Frenet curve in R 1 4 . In addition to this, we define principal direction curve, B_1 -direction curve, B_2- direction curve of a given Frenet curve by using integral curves of 4-dimensional Minkowski space. Then we introduce some characterizations for general helix and slant helix. Finally, some new associated curves and theorems obtained for space-like curves and time- like curves in R 1 4 . Also, an example is given.

【 授权许可】

CC BY-NC-ND