Inextensible Flow of Quaternionic Curves According to Type 2-Quaternionic Frame in the Euclidean Space

Önder Gökmen Yıldız; Hazer Usta

doi:10.36753/mathenot.1481075

EN

Inextensible Flow of Quaternionic Curves According to Type 2-Quaternionic Frame in the Euclidean Space

Abstract

In this paper, we investigate inextensible flows of quaternionic curve according to Type 2-Quaternionic frame. We give necessary and sufficient conditions for inextensible flow of quaternionic curves. Moreover, we obtain evolution equations of the Frenet frame and curvatures according to Type 2-Quaternionic frame.

Keywords

Curvature flows, real quaternion, quaternionic curve

References

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Details

Primary Language

English

Subjects

Applied Mathematics (Other)

Journal Section

Research Article

Authors

Önder Gökmen Yıldız ^*
0000-0002-2760-1223
Türkiye

Hazer Usta This is me
0009-0001-7164-2137
Türkiye

Early Pub Date

July 16, 2024

Publication Date

December 8, 2024

Submission Date

May 9, 2024

Acceptance Date

June 19, 2024

Published in Issue

Year 2024 Volume: 12 Number: 4

DOI

https://doi.org/10.36753/mathenot.1481075

IZ

https://izlik.org/JA87WD77WU

APA

Yıldız, Ö. G., & Usta, H. (2024). Inextensible Flow of Quaternionic Curves According to Type 2-Quaternionic Frame in the Euclidean Space. Mathematical Sciences and Applications E-Notes, 12(4), 169-177. https://doi.org/10.36753/mathenot.1481075

AMA

1.Yıldız ÖG, Usta H. Inextensible Flow of Quaternionic Curves According to Type 2-Quaternionic Frame in the Euclidean Space. Math. Sci. Appl. E-Notes. 2024;12(4):169-177. doi:10.36753/mathenot.1481075

Chicago

Yıldız, Önder Gökmen, and Hazer Usta. 2024. “Inextensible Flow of Quaternionic Curves According to Type 2-Quaternionic Frame in the Euclidean Space”. Mathematical Sciences and Applications E-Notes 12 (4): 169-77. https://doi.org/10.36753/mathenot.1481075.

EndNote

Yıldız ÖG, Usta H (December 1, 2024) Inextensible Flow of Quaternionic Curves According to Type 2-Quaternionic Frame in the Euclidean Space. Mathematical Sciences and Applications E-Notes 12 4 169–177.

IEEE

[1]Ö. G. Yıldız and H. Usta, “Inextensible Flow of Quaternionic Curves According to Type 2-Quaternionic Frame in the Euclidean Space”, Math. Sci. Appl. E-Notes, vol. 12, no. 4, pp. 169–177, Dec. 2024, doi: 10.36753/mathenot.1481075.

ISNAD

Yıldız, Önder Gökmen - Usta, Hazer. “Inextensible Flow of Quaternionic Curves According to Type 2-Quaternionic Frame in the Euclidean Space”. Mathematical Sciences and Applications E-Notes 12/4 (December 1, 2024): 169-177. https://doi.org/10.36753/mathenot.1481075.

JAMA

1.Yıldız ÖG, Usta H. Inextensible Flow of Quaternionic Curves According to Type 2-Quaternionic Frame in the Euclidean Space. Math. Sci. Appl. E-Notes. 2024;12:169–177.

MLA

Yıldız, Önder Gökmen, and Hazer Usta. “Inextensible Flow of Quaternionic Curves According to Type 2-Quaternionic Frame in the Euclidean Space”. Mathematical Sciences and Applications E-Notes, vol. 12, no. 4, Dec. 2024, pp. 169-77, doi:10.36753/mathenot.1481075.

Vancouver

1.Önder Gökmen Yıldız, Hazer Usta. Inextensible Flow of Quaternionic Curves According to Type 2-Quaternionic Frame in the Euclidean Space. Math. Sci. Appl. E-Notes. 2024 Dec. 1;12(4):169-77. doi:10.36753/mathenot.1481075

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