Research Article

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

Volume: 43 Number: 2 June 29, 2022
Esra Çiçek Çetin *, Mehmet Bektaş , Münevver Yıldırım Yılmaz
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On the Assocıated Curves of a Frenet Curve in R_1^4

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

References

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  8. [8] Mak M., Altınbaş H., Some Special Associated Curves of Non-Degenerate Curve in Anti de Sitter 3-Space, Mathematical Sciences and Applications, 5(27) (2017) 89-97.
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Details

Primary Language

English

Subjects

Mathematical Sciences

Journal Section

Research Article

Authors

Publication Date

June 29, 2022

Submission Date

February 23, 2021

Acceptance Date

March 29, 2022

Published in Issue

Year 2022 Volume: 43 Number: 2

DOI

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

IZ

https://izlik.org/JA46KX83XT

Cite

RIS / Bibtex
APA
Çiçek Çetin, E., Bektaş, M., & Yılmaz, M. Y. (2022). On the Assocıated Curves of a Frenet Curve in R_1^4. Cumhuriyet Science Journal, 43(2), 273-276. https://doi.org/10.17776/csj.885772
AMA
1.Çiçek Çetin E, Bektaş M, Yılmaz MY. On the Assocıated Curves of a Frenet Curve in R_1^4. CSJ. 2022;43(2):273-276. doi:10.17776/csj.885772
Chicago
Çiçek Çetin, Esra, Mehmet Bektaş, and Münevver Yıldırım Yılmaz. 2022. “On the Assocıated Curves of a Frenet Curve in R_1^4”. Cumhuriyet Science Journal 43 (2): 273-76. https://doi.org/10.17776/csj.885772.
EndNote
Çiçek Çetin E, Bektaş M, Yılmaz MY (June 1, 2022) On the Assocıated Curves of a Frenet Curve in R_1^4. Cumhuriyet Science Journal 43 2 273–276.
IEEE
[1]E. Çiçek Çetin, M. Bektaş, and M. Y. Yılmaz, “On the Assocıated Curves of a Frenet Curve in R_1^4”, CSJ, vol. 43, no. 2, pp. 273–276, June 2022, doi: 10.17776/csj.885772.
ISNAD
Çiçek Çetin, Esra - Bektaş, Mehmet - Yılmaz, Münevver Yıldırım. “On the Assocıated Curves of a Frenet Curve in R_1^4”. Cumhuriyet Science Journal 43/2 (June 1, 2022): 273-276. https://doi.org/10.17776/csj.885772.
JAMA
1.Çiçek Çetin E, Bektaş M, Yılmaz MY. On the Assocıated Curves of a Frenet Curve in R_1^4. CSJ. 2022;43:273–276.
MLA
Çiçek Çetin, Esra, et al. “On the Assocıated Curves of a Frenet Curve in R_1^4”. Cumhuriyet Science Journal, vol. 43, no. 2, June 2022, pp. 273-6, doi:10.17776/csj.885772.
Vancouver
1.Esra Çiçek Çetin, Mehmet Bektaş, Münevver Yıldırım Yılmaz. On the Assocıated Curves of a Frenet Curve in R_1^4. CSJ. 2022 Jun. 1;43(2):273-6. doi:10.17776/csj.885772

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