Research Article

Parallel Curves Based on Normal Vector

Volume: 9 Number: 1 June 29, 2024
TR EN

Parallel Curves Based on Normal Vector

Abstract

In this paper, the definition of parallel curves based on normal vector is given and the curvature, torsion, Frenet frame of this curve are determined. Furthermore, special cases in curves such as circle and helix are also be exemplified.

Keywords

References

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  2. Ergin, A. A. (1992). On the generalized darboux curves, Communications De La Faculte des Sciences de L’Universite D’Ankara”, 41, 073-077. https://doi.org/10.1501/Commua1_0000000499
  3. Liu, H., & Wang, F. (2008). Mannheim partner curves in 3-space. Journal of Geometry, 88(1-2), 120-126. https://doi.org/10.1007/s00022-007-1949-0
  4. İlarslan, K., & Nesovic, E. (2008). Some characterization of rectifying curves in the Euclidean Space E^4, Turkish Journal of Mathematics, 32, 21-30.
  5. Has, A., & Yılmaz, B. (2022). On quaternionic bertrand curves in euclidean 3-space. Turkish Journal of. Mathematics and Computer Science, 14(2), 355-365. https://doi.org/10.47000/tjmcs.1021801
  6. Sağıroğlu, Y. (2015). Global differential invariants of affine curves in R2. Far East Journal of Mathematical Sciences, 96(4), 497-515.
  7. Divjak, B. (2003). Special curves on ruled surface in galilean and pseudo-galilean space. Acta Mathematica Hungarica, 98(3), 203-215. https://doi.org/10.1023/A:1022821824927
  8. Bükcü, B., & Karacan, M. K. (2008). Bishop frame of the spacelike curve with a spacelike principal normal in minkowski 3-space. Communications De La Faculte des Sciences de L’Universite D’Ankara”, 57(1), 13-22. https://doi.org/10.1501/Commua1_0000000185

Details

Primary Language

English

Subjects

Algebraic and Differential Geometry

Journal Section

Research Article

Publication Date

June 29, 2024

Submission Date

June 16, 2023

Acceptance Date

January 21, 2024

Published in Issue

Year 2024 Volume: 9 Number: 1

APA
Sağıroğlu, Y., & Köse, G. (2024). Parallel Curves Based on Normal Vector. Sinop Üniversitesi Fen Bilimleri Dergisi, 9(1), 1-13. https://doi.org/10.33484/sinopfbd.1315640
AMA
1.Sağıroğlu Y, Köse G. Parallel Curves Based on Normal Vector. Sinop Uni J Nat Sci. 2024;9(1):1-13. doi:10.33484/sinopfbd.1315640
Chicago
Sağıroğlu, Yasemin, and Gönül Köse. 2024. “Parallel Curves Based on Normal Vector”. Sinop Üniversitesi Fen Bilimleri Dergisi 9 (1): 1-13. https://doi.org/10.33484/sinopfbd.1315640.
EndNote
Sağıroğlu Y, Köse G (June 1, 2024) Parallel Curves Based on Normal Vector. Sinop Üniversitesi Fen Bilimleri Dergisi 9 1 1–13.
IEEE
[1]Y. Sağıroğlu and G. Köse, “Parallel Curves Based on Normal Vector”, Sinop Uni J Nat Sci, vol. 9, no. 1, pp. 1–13, June 2024, doi: 10.33484/sinopfbd.1315640.
ISNAD
Sağıroğlu, Yasemin - Köse, Gönül. “Parallel Curves Based on Normal Vector”. Sinop Üniversitesi Fen Bilimleri Dergisi 9/1 (June 1, 2024): 1-13. https://doi.org/10.33484/sinopfbd.1315640.
JAMA
1.Sağıroğlu Y, Köse G. Parallel Curves Based on Normal Vector. Sinop Uni J Nat Sci. 2024;9:1–13.
MLA
Sağıroğlu, Yasemin, and Gönül Köse. “Parallel Curves Based on Normal Vector”. Sinop Üniversitesi Fen Bilimleri Dergisi, vol. 9, no. 1, June 2024, pp. 1-13, doi:10.33484/sinopfbd.1315640.
Vancouver
1.Yasemin Sağıroğlu, Gönül Köse. Parallel Curves Based on Normal Vector. Sinop Uni J Nat Sci. 2024 Jun. 1;9(1):1-13. doi:10.33484/sinopfbd.1315640

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