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BibTex RIS Kaynak Göster

Yıl 2018, Cilt: 6 Sayı: 1, 64 - 69, 27.04.2018

Hülya Gün Bozok Sezin Aykurt Sepet Mahmut Ergüt

https://doi.org/10.36753/mathenot.421762
Cited By: 1

Öz

Kaynakça

  • [1] Ahmad, T.A., Position vectors of general helices in Euclidean 3-Space, Bull. Math. Anal. Appl., 3 (2011) no. 2, 198-205.
  • [2] Ahmad, T.A., Position vectors of slant helices in Euclidean 3-space, J. Egyp. Math. Soc., 20 (2012), 1-6.
  • [3] Barros, M., General helices and a theorem of Lancret, Proc. Am. Math. Soc., 125 (1997), 1503-1509.
  • [4] Bishop, L.R., There is more than one way to frame a curve, Am. Math. Monthly, 82 (1975) no. 3, 246-251.
  • [5] Chen, B.Y., Kim D.S., Kim Y.H., New characterizations of W-curves, Publ. Math. Debrecen, 69 (2006), 457-472.
  • [6] Chouaieb, N., Goriely, A., Maddocks, J.H. , Helices, PANS, 103 (2006), 9398-9403.
  • [7] Ilarslan, K., Boyacioglu, O., Position vectors of a space like W-curve in Minkowski space E_1^3, Bull. Korean Math. Soc., 44 (2007), 429-438.
  • [8] Lucas, A.A., Lambin, P., Diffraction by DNA, carbon nanotubes and other helical nanostructures, Rep. Prog. Phys., 68, 1181-1249, 20.
  • [9] Ozyilmaz, E., Classical differential geometry of curves according to type-2 bishop trihedra, Math. Comput. Appl., 16 (2011) no. 4, 858-867.
  • [10] Oztekin, H. and Gun Bozok, H., Position vectors of admissible curves in 3-dimensional pseudo-Galilean space G_3^1, Int. Electron. J. Geom., 8 (2015) no. 1, 21-32.
  • [11] Struik, D.J., Lectures in Classical Differential Geometry, Addison,-Wesley, Reading, MA, 1961.
  • [12] Yilmaz, S. and Turgut, M., A new version of Bishop frame and an application to spherical images, J. Math. Anal. Appl., 371 (2010), 764-776.

Position Vectors of General Helices According to Type-2 Bishop Frame in E^3

Yıl 2018, Cilt: 6 Sayı: 1, 64 - 69, 27.04.2018

Hülya Gün Bozok Sezin Aykurt Sepet Mahmut Ergüt

https://doi.org/10.36753/mathenot.421762
Cited By: 1

Öz

In this paper, we study the position vector of a general helix according to type-2 Bishop frame in the
3-dimensional Euclidean space E3
. Moreover we determine the natural representation of a general helix
in E^3
.

Anahtar Kelimeler

Position vector type-2 Bishop frame

Kaynakça

  • [1] Ahmad, T.A., Position vectors of general helices in Euclidean 3-Space, Bull. Math. Anal. Appl., 3 (2011) no. 2, 198-205.
  • [2] Ahmad, T.A., Position vectors of slant helices in Euclidean 3-space, J. Egyp. Math. Soc., 20 (2012), 1-6.
  • [3] Barros, M., General helices and a theorem of Lancret, Proc. Am. Math. Soc., 125 (1997), 1503-1509.
  • [4] Bishop, L.R., There is more than one way to frame a curve, Am. Math. Monthly, 82 (1975) no. 3, 246-251.
  • [5] Chen, B.Y., Kim D.S., Kim Y.H., New characterizations of W-curves, Publ. Math. Debrecen, 69 (2006), 457-472.
  • [6] Chouaieb, N., Goriely, A., Maddocks, J.H. , Helices, PANS, 103 (2006), 9398-9403.
  • [7] Ilarslan, K., Boyacioglu, O., Position vectors of a space like W-curve in Minkowski space E_1^3, Bull. Korean Math. Soc., 44 (2007), 429-438.
  • [8] Lucas, A.A., Lambin, P., Diffraction by DNA, carbon nanotubes and other helical nanostructures, Rep. Prog. Phys., 68, 1181-1249, 20.
  • [9] Ozyilmaz, E., Classical differential geometry of curves according to type-2 bishop trihedra, Math. Comput. Appl., 16 (2011) no. 4, 858-867.
  • [10] Oztekin, H. and Gun Bozok, H., Position vectors of admissible curves in 3-dimensional pseudo-Galilean space G_3^1, Int. Electron. J. Geom., 8 (2015) no. 1, 21-32.
  • [11] Struik, D.J., Lectures in Classical Differential Geometry, Addison,-Wesley, Reading, MA, 1961.
  • [12] Yilmaz, S. and Turgut, M., A new version of Bishop frame and an application to spherical images, J. Math. Anal. Appl., 371 (2010), 764-776.
Toplam 12 adet kaynakça vardır.

Ayrıntılar

Birincil Dil İngilizce
Bölüm Articles
Yazarlar

Hülya Gün Bozok

Sezin Aykurt Sepet

Mahmut Ergüt Bu kişi benim

Yayımlanma Tarihi 27 Nisan 2018
Gönderilme Tarihi 14 Mart 2018
Yayımlandığı Sayı Yıl 2018 Cilt: 6 Sayı: 1

Kaynak Göster

APA Bozok, H. G., Sepet, S. A., & Ergüt, M. (2018). Position Vectors of General Helices According to Type-2 Bishop Frame in E^3. Mathematical Sciences and Applications E-Notes, 6(1), 64-69. https://doi.org/10.36753/mathenot.421762
AMA Bozok HG, Sepet SA, Ergüt M. Position Vectors of General Helices According to Type-2 Bishop Frame in E^3. Math. Sci. Appl. E-Notes. Nisan 2018;6(1):64-69. doi:10.36753/mathenot.421762
Chicago Bozok, Hülya Gün, Sezin Aykurt Sepet, ve Mahmut Ergüt. “Position Vectors of General Helices According to Type-2 Bishop Frame in E^3”. Mathematical Sciences and Applications E-Notes 6, sy. 1 (Nisan 2018): 64-69. https://doi.org/10.36753/mathenot.421762.
EndNote Bozok HG, Sepet SA, Ergüt M (01 Nisan 2018) Position Vectors of General Helices According to Type-2 Bishop Frame in E^3. Mathematical Sciences and Applications E-Notes 6 1 64–69.
IEEE H. G. Bozok, S. A. Sepet, ve M. Ergüt, “Position Vectors of General Helices According to Type-2 Bishop Frame in E^3”, Math. Sci. Appl. E-Notes, c. 6, sy. 1, ss. 64–69, 2018, doi: 10.36753/mathenot.421762.
ISNAD Bozok, Hülya Gün vd. “Position Vectors of General Helices According to Type-2 Bishop Frame in E^3”. Mathematical Sciences and Applications E-Notes 6/1 (Nisan 2018), 64-69. https://doi.org/10.36753/mathenot.421762.
JAMA Bozok HG, Sepet SA, Ergüt M. Position Vectors of General Helices According to Type-2 Bishop Frame in E^3. Math. Sci. Appl. E-Notes. 2018;6:64–69.
MLA Bozok, Hülya Gün vd. “Position Vectors of General Helices According to Type-2 Bishop Frame in E^3”. Mathematical Sciences and Applications E-Notes, c. 6, sy. 1, 2018, ss. 64-69, doi:10.36753/mathenot.421762.
Vancouver Bozok HG, Sepet SA, Ergüt M. Position Vectors of General Helices According to Type-2 Bishop Frame in E^3. Math. Sci. Appl. E-Notes. 2018;6(1):64-9.

Cited By

An Alternative Method for Determination of the Position Vector of a Slant Helix
Journal of New Theory
https://doi.org/10.53570/jnt.1356697
 Kapak Resmi İndir

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