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

Smarandache Curves According to q-Frame in Minkowski 3-Space

Sayfa
110–118
Yayın Tarihi
2019-11-25
DOI
—
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⚡ TL;DR(1 Cümlede Hızlı Çıkarım)

In this study, we investigate special Smarandache curves according to q-frame in Minkowski 3-space and we give some differential geometric properties of Smarandache curves.

📌 3 Maddede Bu Makale

🎯
Amaç & Hipotez:In this study, we investigate special Smarandache curves according to q-frame in Minkowski 3-space and we give some differential geometric properties of Smarandache curves.
📊
Temel Bulgular & Veri:In this study, we investigate special Smarandache curves according to q-frame in Minkowski 3-space and we give some differential geometric properties of Smarandache curves.
💡
Sonuç & Katkı:In this study, we investigate special Smarandache curves according to q-frame in Minkowski 3-space and we give some differential geometric properties of Smarandache curves.
🔬Tür:Araştırma Makalesi
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Frenet frame · Natural curvatures · q-frame

Abstract

In this study, we investigate special Smarandache curves according to q-frame in Minkowski 3-space and we give some differential geometric properties of Smarandache curves.

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Bu Makaleye Atıf Yap

EKİCİ, C., GÖKSEL, M. B., DEDE, M. (2019). Smarandache Curves According to q-Frame in Minkowski 3-Space. Conference Proceedings of Science and Technology, Cilt: 2 Sayı: 2, 110–118. https://ajindex.com/articles/984379

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Kaynakça (21)

  1. A. T. Ali, Special Smarandache curves in the Euclidean space, International Journal of Mathematical Combinatorics, 2 (2010), 30-36
  2. K. Akutagawa and S. Nishikawa, The Gauss map and spacelike surfaces with prescribed mean curvature in Minkowski 3-space, Tohoku Mathematical Journal, 42 (1990), 67-82
  3. C. Ashbacher, Smarandache geometries, Smarandache Notions Journal, 8(1-3) (1997), 212-215
  4. Ö. Bekta¸s and S. Yüce, Special Smarandache curves according to Darboux frame in E3, Rom. J. Math. Comput. Sci., 3 (2013), 48-59
  5. R. L. Bishop, There is more than one way to frame a curve, Amer. Math. Monthly 82 (1975), 246-251
  6. J. Bloomenthal, Calculation of Reference Frames Along a Space Curve, Graphics gems, Academic Press Professional Inc., San Diego, CA, 1990
  7. W. B. Bonnor, Null curves in a Minkowski space-time, Tensor, 20 (1969), 229-242
  8. P. M. do Carmo, Differential geometry of curves and surfaces, Prentice-Hall, Englewood Cliffs, New York, 1976
  9. S. Coquillart, Computing offsets of B-spline curves, Computer-Aided Design, 19(6) (1987), 305-09
  10. M. Çetin, Y. Tunçer and M.K. Karacan, Smarandache curves according to Bishop frame in Euclidean 3-space, General Mathematics Notes, 20(2) (2014), 50-66
  11. M. Dede, C. Ekici and A. Görgülü, Directional q-frame along a space curve, IJARCSSE, 5(12) (2015), 775-780
  12. M. Dede, C. Ekici, H. Tozak, Directional tubular surfaces, International Journal of Algebra 9(12) (2015), 527-535
  13. M. Dede, C. Ekici and ˙I. A. Güven, Directional Bertrand curves, GU J Sci, 31(1) (2018), 202-211
  14. M. Dede, G. Tarım and C. Ekici, Timelike directional Bertrand curves in Minkowski space, 15th International Geometry Symposium, Amasya-Turkey, 2017
  15. C. Ekici, M. Dede and H. Tozak, Timelike directional tubular surfaces, Journal of Mathematical Analysis 8(5) (2017), 1-11
  16. C. Ekici, M.B. Göksel and M. Dede, Smarandache curves according to q-frame in Euclidean 3-space, 16th International Geometry Symposium, Manisa-Turkey, 2018
  17. A. Gray, S. Salamon and E. Abbena, Modern differential geometry of curves and surfaces with Mathematica, Chapman and Hall/CRC, 2006
  18. H. Guggenheimer, Computing frames along a trajectory, Comput. Aided Geom. Des., 6 (1989), 77-78
  19. F. Karaman, Özel Smarandache e˘grileri, Anadolu Üniv., Bilecik ¸Seyh Edebali Üniv. Fen Bilimleri Ens. Matematik, 2015
  20. W. Kuhnel, Differential geometry: curves-surfaces-manifolds, Braunscheweig, Weisbaden, 1999
  21. T. Maekawa