Research Article

On Equiform Rectifying, Normal and Osculating Curves in Minkowski Space-Time

Volume: 13 Number: 2 June 29, 2024
EN

On Equiform Rectifying, Normal and Osculating Curves in Minkowski Space-Time

Abstract

This paper deals with the equiform rectifying, normal and second kind osculating curves in Minkowski space-time . We reveal necessary and sufficient conditions for a curve to be a rectifying, normal and second kind osculating curve according to equiform geometry in Minkowski space-time . We obtain the relationship between the curvatures for these curves to be congruent to a rectifying, normal and second kind osculating curve according to equiform geometry in Minkowski space-time.

Keywords

References

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  3. [3] B. Y. Chen and F. Dillen, “Rectifying curves as centrodes and extremal curves”, Bull. Inst. Math. Academia Sinica, vol. 2, pp. 77-90, 2005.
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  5. [5] H.S. Abdel-Aziz, M.K. Khalifa Saad, and A.A. Abdel-Salam, “Equiform Differential Geometry of Curves in Minkowski Space-Time”, 2015, arXiv:1501.02283v1 [math DG] January.
  6. [6] J. Walrave, “Curves and surfaces in Minkowski space”, Ph.D. dissertation, Leuven University,1995.
  7. [7] K. İlarslan and E. Nešovic, “Some characterizations of rectifying curves in the Euclidean space ”, Turkish. J. Math., vol. 32, no. 1, pp. 21-30, 2008.
  8. [8] K. İlarslan, E. Nešovic, and M. Petrovic-Torgasev, “Some characterizations of rectifying curves in the Minkowski 3-space”, Novi Sad J. Math., vol. 33, no. 2, pp. 23-32, 2003.

Details

Primary Language

English

Subjects

Algebraic and Differential Geometry

Journal Section

Research Article

Early Pub Date

June 27, 2024

Publication Date

June 29, 2024

Submission Date

January 26, 2024

Acceptance Date

April 3, 2024

Published in Issue

Year 2024 Volume: 13 Number: 2

APA
Boyacıoğlu Kalkan, Ö. (2024). On Equiform Rectifying, Normal and Osculating Curves in Minkowski Space-Time. Bitlis Eren Üniversitesi Fen Bilimleri Dergisi, 13(2), 467-473. https://doi.org/10.17798/bitlisfen.1426092
AMA
1.Boyacıoğlu Kalkan Ö. On Equiform Rectifying, Normal and Osculating Curves in Minkowski Space-Time. Bitlis Eren Üniversitesi Fen Bilimleri Dergisi. 2024;13(2):467-473. doi:10.17798/bitlisfen.1426092
Chicago
Boyacıoğlu Kalkan, Özgür. 2024. “On Equiform Rectifying, Normal and Osculating Curves in Minkowski Space-Time”. Bitlis Eren Üniversitesi Fen Bilimleri Dergisi 13 (2): 467-73. https://doi.org/10.17798/bitlisfen.1426092.
EndNote
Boyacıoğlu Kalkan Ö (June 1, 2024) On Equiform Rectifying, Normal and Osculating Curves in Minkowski Space-Time. Bitlis Eren Üniversitesi Fen Bilimleri Dergisi 13 2 467–473.
IEEE
[1]Ö. Boyacıoğlu Kalkan, “On Equiform Rectifying, Normal and Osculating Curves in Minkowski Space-Time”, Bitlis Eren Üniversitesi Fen Bilimleri Dergisi, vol. 13, no. 2, pp. 467–473, June 2024, doi: 10.17798/bitlisfen.1426092.
ISNAD
Boyacıoğlu Kalkan, Özgür. “On Equiform Rectifying, Normal and Osculating Curves in Minkowski Space-Time”. Bitlis Eren Üniversitesi Fen Bilimleri Dergisi 13/2 (June 1, 2024): 467-473. https://doi.org/10.17798/bitlisfen.1426092.
JAMA
1.Boyacıoğlu Kalkan Ö. On Equiform Rectifying, Normal and Osculating Curves in Minkowski Space-Time. Bitlis Eren Üniversitesi Fen Bilimleri Dergisi. 2024;13:467–473.
MLA
Boyacıoğlu Kalkan, Özgür. “On Equiform Rectifying, Normal and Osculating Curves in Minkowski Space-Time”. Bitlis Eren Üniversitesi Fen Bilimleri Dergisi, vol. 13, no. 2, June 2024, pp. 467-73, doi:10.17798/bitlisfen.1426092.
Vancouver
1.Özgür Boyacıoğlu Kalkan. On Equiform Rectifying, Normal and Osculating Curves in Minkowski Space-Time. Bitlis Eren Üniversitesi Fen Bilimleri Dergisi. 2024 Jun. 1;13(2):467-73. doi:10.17798/bitlisfen.1426092

Cited By

Bitlis Eren University

Journal of Science Editor

Bitlis Eren University Graduate Institute

Bes Minare Mah. Ahmet Eren Bulvari, Merkez Kampus, 13000 BITLIS

E-mail: fbe@beu.edu.tr