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On The Directional Associated Curves of Timelike Space Curve

Yıl 2019, Cilt: 2 Sayı: 3, 173 - 179, 30.12.2019

Gül Ugur Kaymanli , Cumali Ekici , Mustafa Dede

Öz

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.

Anahtar Kelimeler

Associated curves Minkowski space q-frame q-frame

Kaynakça

  • [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.

Yıl 2019, Cilt: 2 Sayı: 3, 173 - 179, 30.12.2019

Gül Ugur Kaymanli , Cumali Ekici , Mustafa Dede

Öz

Kaynakça

  • [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.
Toplam 19 adet kaynakça vardır.

Ayrıntılar

Birincil Dil İngilizce
Konular Mühendislik
Bölüm Konferans Bildirisi
Yazarlar

Gül Ugur Kaymanli 0000-0003-4932-894X

Cumali Ekici 0000-0002-3247-5727

Mustafa Dede 0000-0003-2652-637X

Kabul Tarihi 18 Aralık 2019
Yayımlanma Tarihi 30 Aralık 2019
Yayımlandığı Sayı Yıl 2019 Cilt: 2 Sayı: 3

Kaynak Göster

APA Ugur Kaymanli, G., Ekici, C., & Dede, M. (2019). On The Directional Associated Curves of Timelike Space Curve. Conference Proceedings of Science and Technology, 2(3), 173-179.
AMA Ugur Kaymanli G, Ekici C, Dede M. On The Directional Associated Curves of Timelike Space Curve. Conference Proceedings of Science and Technology. Aralık 2019;2(3):173-179.
Chicago Ugur Kaymanli, Gül, Cumali Ekici, ve Mustafa Dede. “On The Directional Associated Curves of Timelike Space Curve”. Conference Proceedings of Science and Technology 2, sy. 3 (Aralık 2019): 173-79.
EndNote Ugur Kaymanli G, Ekici C, Dede M (01 Aralık 2019) On The Directional Associated Curves of Timelike Space Curve. Conference Proceedings of Science and Technology 2 3 173–179.
IEEE G. Ugur Kaymanli, C. Ekici, ve M. Dede, “On The Directional Associated Curves of Timelike Space Curve”, Conference Proceedings of Science and Technology, c. 2, sy. 3, ss. 173–179, 2019.
ISNAD Ugur Kaymanli, Gül vd. “On The Directional Associated Curves of Timelike Space Curve”. Conference Proceedings of Science and Technology 2/3 (Aralık2019), 173-179.
JAMA Ugur Kaymanli G, Ekici C, Dede M. On The Directional Associated Curves of Timelike Space Curve. Conference Proceedings of Science and Technology. 2019;2:173–179.
MLA Ugur Kaymanli, Gül vd. “On The Directional Associated Curves of Timelike Space Curve”. Conference Proceedings of Science and Technology, c. 2, sy. 3, 2019, ss. 173-9.
Vancouver Ugur Kaymanli G, Ekici C, Dede M. On The Directional Associated Curves of Timelike Space Curve. Conference Proceedings of Science and Technology. 2019;2(3):173-9.