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

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 introd...

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Veröffentlicht in:Cumhuriyet Science Journal 2022-06, Vol.43 (2), p.273-276
Hauptverfasser: ÇİÇEK ÇETİN, Esra, BEKTAŞ, Mehmet, YILMAZ, Münevver Yıldırım
Format: Artikel
Sprache:eng
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Zusammenfassung: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.
ISSN:2587-2680
DOI:10.17776/csj.885772