EN
A Smarandache Curve According to the Darboux Frame and the Kinematics of this Curve in Minkowski Space
Abstract
In this study, the curvatures and frames of the Smarandache curve formed by a unıt speed timelike curve taken on a time like surface according to Darboux frame in Semi-Euclidean space $\mathbb{E}_1^3$ were created. Then, the image curve on the screw surface was obtained by applying translational and rotational motion using the quaternion multiplication under the same frame of this curve. Finally, the curvature and torsion of the obtained image curve were calculated.
Keywords
References
- Ahmad T Ali. Special smarandache curves in the euclidean space. International Journal of Mathematical Combinatorics, 2:30{36, 2010.
- Fatih Karaman. Ozel smarandache egrileri. Master's thesis, Bilecik Seyh Edebali Universitesi, Fen Bilimleri Enstitusu, 2015.
- Ozcan Bektas and Salim Yuce. Special smarandache curves according to darboux frame in e3. arXiv preprint arXiv:1203.4830, 2012.
- M Khalifa Saad. Spacelike and timelike admissible smarandache curves in pseudogalilean space. Journal of the Egyptian Mathematical Society, 24(3):416{423, 2016.
- EM Solouma. Special equiform smarandache curves in minkowski space-time. Jour- nal of the Egyptian Mathematical Society, 25(3):319{325, 2017.
Details
Primary Language
English
Subjects
Applied Mathematics (Other)
Journal Section
Research Article
Early Pub Date
May 28, 2024
Publication Date
June 13, 2024
Submission Date
June 7, 2023
Acceptance Date
January 3, 2024
Published in Issue
Year 2024 Volume: 7 Number: 1
APA
Karaman, F., & Savcı, Ü. Z. (2024). A Smarandache Curve According to the Darboux Frame and the Kinematics of this Curve in Minkowski Space. International Journal of Informatics and Applied Mathematics, 7(1), 1-13. https://doi.org/10.53508/ijiam.1311214
AMA
1.Karaman F, Savcı ÜZ. A Smarandache Curve According to the Darboux Frame and the Kinematics of this Curve in Minkowski Space. IJIAM. 2024;7(1):1-13. doi:10.53508/ijiam.1311214
Chicago
Karaman, Fatih, and Ümit Ziya Savcı. 2024. “A Smarandache Curve According to the Darboux Frame and the Kinematics of This Curve in Minkowski Space”. International Journal of Informatics and Applied Mathematics 7 (1): 1-13. https://doi.org/10.53508/ijiam.1311214.
EndNote
Karaman F, Savcı ÜZ (June 1, 2024) A Smarandache Curve According to the Darboux Frame and the Kinematics of this Curve in Minkowski Space. International Journal of Informatics and Applied Mathematics 7 1 1–13.
IEEE
[1]F. Karaman and Ü. Z. Savcı, “A Smarandache Curve According to the Darboux Frame and the Kinematics of this Curve in Minkowski Space”, IJIAM, vol. 7, no. 1, pp. 1–13, June 2024, doi: 10.53508/ijiam.1311214.
ISNAD
Karaman, Fatih - Savcı, Ümit Ziya. “A Smarandache Curve According to the Darboux Frame and the Kinematics of This Curve in Minkowski Space”. International Journal of Informatics and Applied Mathematics 7/1 (June 1, 2024): 1-13. https://doi.org/10.53508/ijiam.1311214.
JAMA
1.Karaman F, Savcı ÜZ. A Smarandache Curve According to the Darboux Frame and the Kinematics of this Curve in Minkowski Space. IJIAM. 2024;7:1–13.
MLA
Karaman, Fatih, and Ümit Ziya Savcı. “A Smarandache Curve According to the Darboux Frame and the Kinematics of This Curve in Minkowski Space”. International Journal of Informatics and Applied Mathematics, vol. 7, no. 1, June 2024, pp. 1-13, doi:10.53508/ijiam.1311214.
Vancouver
1.Fatih Karaman, Ümit Ziya Savcı. A Smarandache Curve According to the Darboux Frame and the Kinematics of this Curve in Minkowski Space. IJIAM. 2024 Jun. 1;7(1):1-13. doi:10.53508/ijiam.1311214