Journals / Conference Proceedings of Science and Technology / 2019 / Cilt: 2 Sayı: 3

On The Directional Associated Curves of Timelike Space Curve

Gül Ugur Kaymanli(CANKIRI KARATEKIN UNIVERSITY, FACULTY OF SCIENCE)0000-0003-4932-894X
Cumali Ekici(ESKISEHIR OSMANGAZI UNIVERSITY)0000-0002-3247-5727
Mustafa Dede(KILIS 7 ARALIK UNIVERSITY)0000-0003-2652-637X
Pages
173–179
Publication Date
2019-12-30
DOI
—
🏛️Bibliographic metadata and full text access for this article are provided via DergiPark.
DergiPark Record ↗
✨

AI Summary & Key Takeaways

AI Insight
⚡ TL;DR(Too Long; Didn't Read)

Finally, some new associated curves are constructed and plotted.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:In this work, the directional associated curves of timelike space curve in Minkowski 3-space by using q-frame are studied.
📊
Key Findings & Data:We investigate quasi normal-binormal direction and donor curves of the timelike curve with q-frame.
💡
Conclusion & Impact:Finally, some new associated curves are constructed and plotted.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Associated curves · Minkowski space · q-frame

Abstract

In this work, the directional associated curves of timelike space curve in Minkowski 3-space by using q-frame are studied. We investigate quasi normal-binormal direction and donor curves of the timelike curve with q-frame. Finally, some new associated curves are constructed and plotted.

🔖

Cite This Article

Kaymanli, G. U., Ekici, C., Dede, M. (2019). On The Directional Associated Curves of Timelike Space Curve. Conference Proceedings of Science and Technology, Cilt: 2 Sayı: 3, 173–179. https://ajindex.com/articles/984368

📄 Full Text PDF Viewer

📄

PDF görüntüleyici hazırlanıyor...

References (20)

  1. R. L. Bishop, There is more than one way to frame a curve, Am. Math. Mon., 82(3) (1975), 246-251.
  2. J. Bloomenthal, Calculation Of Reference Frames Along A Space Curve, Graphics gems, Academic Press Professional, Inc., San Diago, CA, 1990.
  3. H. Guggenheimer, Computing frames along a trajectory, Comput. Aided Geom. Des., 6 (1989), 77-78.
  4. J. H. Choi, Y. H. Kim, Associated curves of a Frenet curve and their applications, Appl. Math. Comput., 218(18) (2012), 9116-9124.
  5. J. H. Choi, Y. H. Kim, A. T. Ali, Some associated curves of Frenet non-lightlike curves in E31. J Math Anal Appl., 394 (2012), 712-723.
  6. N. Macit, M. Düldül, Some New Associated curves of a Frenet Curve in E3 and E4; Turkish J. Math., 38 (2014), 1023-1037.
  7. T. Körpınar, M. T. Sarıaydın, E. Turhan, Associated Curves According to Bishop Frame in Euclidean 3-space, AMO. 15 (2015), 713-717.
  8. Y. Ünlütürk, S. Yılmaz, M. Çimdiker, S. Şimşek, Associated curves of non-lightlike curves due to the Bishop frame of type-1 in Minkowski 3-space, Adv. Model. Optim., 20(1) (2018), 313-327.
  9. Y. Ünlütürk, S. Yılmaz, Associated Curves of the Spacelike Curve via the Bishop Frame of type-2 in E31; Journal of Mahani Mathematical Research Center, 8(1-2) (2019), 1-12.
  10. S. Yılmaz, Characterizations of Some Associated and Special Curves to Type-2 Bishop Frame in E3, Kirklareli University Journal of Engineering and Science, 1 (2015), 66-77.
  11. M. Dede, C. Ekici, A. Görgülü, Directional q-frame along a space curve, IJARCSSE, 5 (2015) 775-780.
  12. M. Dede, G. Tarım, C. Ekici, Timelike Directional Bertrand Curves in Minkowski Space, 15th International Geometry Symposium, Amasya, Turkey 2017.
  13. C. Ekici, M. Dede, H. Tozak, Timelike directional tubular surfaces, Int. J. Mathematical Anal., 8(5) (2017), 1-11.
  14. G. U. Kaymanlı, C. Ekici, M. Dede, Directional canal surfaces in E3, Current Academic Studies in Natural Sciences and Mathematics Sciences, (2018) 63-80.
  15. S. Coquillart, Computing offsets of B-spline curves, Computer-Aided Design, 19(6) (1987) 305-09.
  16. K. Akutagawa, S. Nishikawa, The Gauss map and spacelike surfaces with prescribed mean curvature in Minkowski 3-space, Tohoku Math. J. 42(2) (1990), 67-82.
  17. W. B. Bonnor, Null curves in a Minkowski space-time, Tensor, N. S., 20(1969), 229-242.
  18. R. Lopez, Differential geometry of curves and surfaces in Lorentz-Minkowski space, Int Elect Journ Geom, 3(2) (2010), 67-101.
  19. B. O‘Neill, Semi-Riemannian geometry with applications to relativity, Academic Press, New York, 1983.
  20. Y. Ünlütürk, S. Yılmaz, Associated Curves of the Spacelike Curve via the Bishop Frame of type-2 in E31; Journal of Mahani Mathematical Research Center, 8(1-2) (2019), 1-12.