SLANT HELICES FOR VERSOR FIELDS ALONG A CURVE IN 4- DIMENSIONAL MINKOWSKI SPACE

Mehmet Bektaş; Erol Orak

EN TR

SLANT HELICES FOR VERSOR FIELDS ALONG A CURVE IN 4- DIMENSIONAL MINKOWSKI SPACE

Öz

In this work we study investigates k􀀀 type helices obtained from versor vector elds dened along curves in fourdimensional Minkowski space. New relationships between curvature functions and helical structures were obtained by expressing the versor vector eld in terms of the Frenet frame of the base curve.

Anahtar Kelimeler

Curve, Versor Vector Fields, Slant Helice

Kaynakça

[1] Chouaieb, N., Goriely, A., & Maddocks, J. H. (2006). Helices. Proceedings of the National Academy of Sciences, 103(25), 9398-9403.
[2] Sy, S. (2001). General helices and other topics in the di¤erential geometry of curves (Masters thesis, Michigan Technological University).
[3] Uzuno¼glu, B., Gök, ·I., & Yayl¬, Y. (2016). A new approach on curves of constant precession. Applied Mathematics and Computation, 275, 317-323.
[4] M. Barros, (1997). General helices and a theorem of Lancret, Proc. Am.Math. Soc. 125, 15031509.
[5] Kula, L., Ekmekci, N., Yayl¬, Y., & ·Ilarslan, K. (2010). Characterizations of slant helices in Euclidean 3-space. Turkish Journal of Mathematics, 34(2), 261-274.
[6] Camci, C., Ilarslan, K., Kula, L., & Hacisalihoglu, H. (2009). Harmonic curvatures and generalized helices in En. Chaos Solitons & Fractals, 40(5).
[7] Gök, I., Camci, C., & Hacisaliho¼glu, H. (2009). Vn -slant helices in Euclidean n -space En . Mathematical communications, 14(2), 317-329.
[8] Abdel-Aziz, H. S., Serry, H., & Saad, M. K. (2022). Evolution equations of pseudo spherical images for timelike curves in Minkowski 3-space. Mathematics and Statistics, 10(4), 884-893.
[9] Hanif, M., Hou, Z. H., & Nisar, K. S. (2018). On special kinds of involute and evolute curves in 4-dimensional Minkowski space. Symmetry, 10(8), 317.
[10] ·Ilarslan, K., & Neovi´c, E. (2009). Spacelike and timelike normal curves in Minkowski space-time. Publications de lInstitut Mathématique, (105), 111-118

[11] Zhou, A., Yao, K., & Pei, D. (2024). k􀀀type hyperbolic framed slant helices in hyperbolic 3-space. Filomat, 38(11), 3839-3850.
[12] Ali, A. T., López, R., & Turgut, M. (2012). k􀀀type partially null and pseudo null slant helices in Minkowski 4-space. Mathematical Communications, 17(1), 93-103.
[13] Neovi´c, E., Koç Öztürk, E. B., & Öztürk, U. (2015). k􀀀type null slant helices in Minkowski space-time. Mathematical Communications, 20(1), 83-95.
[14] Ali, A. T., & López, R. (2008). Timelike B2 -slant helices in Minkowski space E4.1 : arXiv preprint arXiv:0810.1460.
[15] Hu, N., Zhang, T., & Jiang, Y. (2022). Darboux Vector in Four- Dimensional Space-Time. Advances in Mathematical Physics, 2022(1), 9044567.
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Ayrıntılar

Birincil Dil

İngilizce

Konular

Temel Matematik (Diğer)

Bölüm

Araştırma Makalesi

Yazarlar

Mehmet Bektaş ^*
0000-0002-5797-4944
Türkiye

Erol Orak Bu kişi benim
0000-0000-0000-0000
Türkiye

Yayımlanma Tarihi

1 Ekim 2026

Gönderilme Tarihi

22 Haziran 2026

Kabul Tarihi

15 Eylül 2026

Yayımlandığı Sayı

Yıl 2026 Cilt: 9 Sayı: 3

IZ

https://izlik.org/JA65NT73RH

APA

Bektaş, M., & Orak, E. (2026). SLANT HELICES FOR VERSOR FIELDS ALONG A CURVE IN 4- DIMENSIONAL MINKOWSKI SPACE. Journal of Advanced Mathematics and Mathematics Education, 9(3), 16-24. https://izlik.org/JA65NT73RH

AMA

1.Bektaş M, Orak E. SLANT HELICES FOR VERSOR FIELDS ALONG A CURVE IN 4- DIMENSIONAL MINKOWSKI SPACE. Journal of Advanced Mathematics and Mathematics Education. 2026;9(3):16-24. https://izlik.org/JA65NT73RH

Chicago

Bektaş, Mehmet, ve Erol Orak. 2026. “SLANT HELICES FOR VERSOR FIELDS ALONG A CURVE IN 4- DIMENSIONAL MINKOWSKI SPACE”. Journal of Advanced Mathematics and Mathematics Education 9 (3): 16-24. https://izlik.org/JA65NT73RH.

EndNote

Bektaş M, Orak E (01 Ekim 2026) SLANT HELICES FOR VERSOR FIELDS ALONG A CURVE IN 4- DIMENSIONAL MINKOWSKI SPACE. Journal of Advanced Mathematics and Mathematics Education 9 3 16–24.

IEEE

[1]M. Bektaş ve E. Orak, “SLANT HELICES FOR VERSOR FIELDS ALONG A CURVE IN 4- DIMENSIONAL MINKOWSKI SPACE”, Journal of Advanced Mathematics and Mathematics Education, c. 9, sy 3, ss. 16–24, Eki. 2026, [çevrimiçi]. Erişim adresi: https://izlik.org/JA65NT73RH

ISNAD

Bektaş, Mehmet - Orak, Erol. “SLANT HELICES FOR VERSOR FIELDS ALONG A CURVE IN 4- DIMENSIONAL MINKOWSKI SPACE”. Journal of Advanced Mathematics and Mathematics Education 9/3 (01 Ekim 2026): 16-24. https://izlik.org/JA65NT73RH.

JAMA

1.Bektaş M, Orak E. SLANT HELICES FOR VERSOR FIELDS ALONG A CURVE IN 4- DIMENSIONAL MINKOWSKI SPACE. Journal of Advanced Mathematics and Mathematics Education. 2026;9:16–24.

MLA

Bektaş, Mehmet, ve Erol Orak. “SLANT HELICES FOR VERSOR FIELDS ALONG A CURVE IN 4- DIMENSIONAL MINKOWSKI SPACE”. Journal of Advanced Mathematics and Mathematics Education, c. 9, sy 3, Ekim 2026, ss. 16-24, https://izlik.org/JA65NT73RH.

Vancouver

1.Mehmet Bektaş, Erol Orak. SLANT HELICES FOR VERSOR FIELDS ALONG A CURVE IN 4- DIMENSIONAL MINKOWSKI SPACE. Journal of Advanced Mathematics and Mathematics Education [Internet]. 01 Ekim 2026;9(3):16-24. Erişim adresi: https://izlik.org/JA65NT73RH

SLANT HELICES FOR VERSOR FIELDS ALONG A CURVE IN 4- DIMENSIONAL MINKOWSKI SPACE

SLANT HELICES FOR VERSOR FIELDS ALONG A CURVE IN 4- DIMENSIONAL MINKOWSKI SPACE

Öz

Anahtar Kelimeler

4 Boyutlu Minkowski uzayında bir eğrinin versor alanı için slant helisler

Öz

Anahtar Kelimeler

Kaynakça

Ayrıntılar

Birincil Dil

Konular

Bölüm

Yazarlar

Yayımlanma Tarihi

Gönderilme Tarihi

Kabul Tarihi

Yayımlandığı Sayı

IZ

Kaynak Göster