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A Smarandache Curve According to the Darboux Frame and the Kinematics of this Curve in Minkowski Space

Year 2024, Volume: 7 Issue: 1, 1 - 13, 13.06.2024

Fatih Karaman , Ümit Ziya Savcı

https://doi.org/10.53508/ijiam.1311214

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

Smarandache Curve Quaternon Screw Surface Image Curve

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.

Year 2024, Volume: 7 Issue: 1, 1 - 13, 13.06.2024

Fatih Karaman , Ümit Ziya Savcı

https://doi.org/10.53508/ijiam.1311214

Abstract

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.
There are 5 citations in total.

Details

Primary Language English
Subjects Applied Mathematics (Other)
Journal Section Articles
Authors

Fatih Karaman

Ümit Ziya Savcı

Early Pub Date May 28, 2024
Publication Date June 13, 2024
Acceptance Date January 3, 2024
Published in Issue Year 2024 Volume: 7 Issue: 1

Cite

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 Karaman F, Savcı ÜZ. A Smarandache Curve According to the Darboux Frame and the Kinematics of this Curve in Minkowski Space. IJIAM. June 2024;7(1):1-13. doi:10.53508/ijiam.1311214
Chicago 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 7, no. 1 (June 2024): 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 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, 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 2024), 1-13. https://doi.org/10.53508/ijiam.1311214.
JAMA 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, 2024, pp. 1-13, doi:10.53508/ijiam.1311214.
Vancouver 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.

International Journal of Informatics and Applied Mathematics