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

Year 2022, Volume: 43 Issue: 2, 273 - 276, 29.06.2022

Esra Çiçek Çetin , Mehmet Bektaş , Münevver Yıldırım Yılmaz

https://doi.org/10.17776/csj.885772

Abstract

In the present work, we have dealt with the properties of associated curves of a Frenet curve in R₁⁴. 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 R₁⁴. Also, an example is given.

Keywords

Frenet curve, Associated curve, Principal -direction curve, B_1-direction curve, B_2- direction curve

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