New moving frames for the curves lying on a surface

Akın Alkan; Hüseyin Kocayiğit; Tuba Ağırman Aydın

New moving frames for the curves lying on a surface

Abstract

In this article, three new orthogonal frames are defined for the curves lying on a surface. These moving frames, obtained based on the Darboux frame, are called “Osculator Darboux Frame”, “Normal Darboux Frame” and “Rectifying Darboux Frame”, respectively. Also, the Osculator Darboux Frame components and curvatures are calculated for a presented example.

Keywords

References

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Details

Primary Language

English

Subjects

Clinical Chemistry

Journal Section

Research Article

Authors

Akın Alkan ^*
0000-0002-8179-9525
Türkiye

Hüseyin Kocayiğit This is me
0000-0001-6503-8243
Türkiye

Tuba Ağırman Aydın
0000-0001-8034-0723
Türkiye

Publication Date

August 1, 2024

Submission Date

January 11, 2023

Acceptance Date

April 4, 2023

Published in Issue

Year 2024 Volume: 42 Number: 4

IZ

https://izlik.org/JA84XD23JW

Cite

RIS / Bibtex

APA

Alkan, A., Kocayiğit, H., & Ağırman Aydın, T. (2024). New moving frames for the curves lying on a surface. Sigma Journal of Engineering and Natural Sciences, 42(4), 1023-1029. https://izlik.org/JA84XD23JW

AMA

1.Alkan A, Kocayiğit H, Ağırman Aydın T. New moving frames for the curves lying on a surface. SIGMA. 2024;42(4):1023-1029. https://izlik.org/JA84XD23JW

Chicago

Alkan, Akın, Kocayiğit Hüseyin, and Tuba Ağırman Aydın. 2024. “New Moving Frames for the Curves Lying on a Surface”. Sigma Journal of Engineering and Natural Sciences 42 (4): 1023-29. https://izlik.org/JA84XD23JW.

EndNote

Alkan A, Kocayiğit H, Ağırman Aydın T (August 1, 2024) New moving frames for the curves lying on a surface. Sigma Journal of Engineering and Natural Sciences 42 4 1023–1029.

IEEE

[1]A. Alkan, H. Kocayiğit, and T. Ağırman Aydın, “New moving frames for the curves lying on a surface”, SIGMA, vol. 42, no. 4, pp. 1023–1029, Aug. 2024, [Online]. Available: https://izlik.org/JA84XD23JW

ISNAD

Alkan, Akın - Kocayiğit Hüseyin - Ağırman Aydın, Tuba. “New Moving Frames for the Curves Lying on a Surface”. Sigma Journal of Engineering and Natural Sciences 42/4 (August 1, 2024): 1023-1029. https://izlik.org/JA84XD23JW.

JAMA

1.Alkan A, Kocayiğit H, Ağırman Aydın T. New moving frames for the curves lying on a surface. SIGMA. 2024;42:1023–1029.

MLA

Alkan, Akın, et al. “New Moving Frames for the Curves Lying on a Surface”. Sigma Journal of Engineering and Natural Sciences, vol. 42, no. 4, Aug. 2024, pp. 1023-9, https://izlik.org/JA84XD23JW.

Vancouver

1.Akın Alkan, Hüseyin Kocayiğit, Tuba Ağırman Aydın. New moving frames for the curves lying on a surface. SIGMA [Internet]. 2024 Aug. 1;42(4):1023-9. Available from: https://izlik.org/JA84XD23JW