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Some Characterizations of Constant Ratio Curves According to Type-2 Bishop Frame in Euclidean 3-space E^3

Yıl 2017, Cilt: 10 Sayı: 2, 67 - 72, 29.10.2017

Hülya Gün Bozok , Sezin Aykurt Sepet , Mahmut Ergüt

https://doi.org/10.36890/iejg.545054
Cited By: 1

Öz

Anahtar Kelimeler

Position vector type-2 Bishop fram constant ratio curves

Kaynakça

  • [1] Bishop, L. R., There is more than one way to frame a curve. Am. Math. Monthly, 82 (1975), no.3, 246-251.
  • [2] Büyükkütük, S. and Öztürk, G., Constant ratio curves according to parallel transport frame in Euclidean 4-space E3. Adv. New Trends in Math. Sciences, 4 (2015), 171-178.
  • [3] Büyükkütük, S. and Öztürk, G., Constant ratio curves according to Bishop frame in Euclidean 3-space E3. Gen. Math. Notes, 28 (2015),no.1, 81-91.
  • [4] Chen, B. Y., Constant ratio hypersurfaces. Soochow J. Math., 28 (2001), 353-362.
  • [5] Chen, B. Y., More on convolution of Riemannian manifolds. Beitrage Algebra Geom., 44 (2003), no.1,9-24.
  • [6] Chen, B. Y., Geometry of position functions of Riemannian submanifolds in pseudo-Euclidean space. J. Geom., 74 (2002), 61-77.
  • [7] Gürpinar, S., Arslan, K. and Öztürk, G., A characterization of constant-ratio curves in Euclidean 3-space E3. (2014), arXiv:1410.5577.
  • [8] Kisi, I. and Öztürk, G., Constant ratio curves according to Bishop frame in Minkowski 3-space Facta Universitatis(NIS), 30 (2015),no.4, 527-538.
  • [9] Ozyilmaz, E., Classical differential geometry of curves according to type-2 bishop trihedra. Mathematical and Computational Applications, 16 (2011),no.4, 858-867.
  • [10] 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.

Yıl 2017, Cilt: 10 Sayı: 2, 67 - 72, 29.10.2017

Hülya Gün Bozok , Sezin Aykurt Sepet , Mahmut Ergüt

https://doi.org/10.36890/iejg.545054
Cited By: 1

Öz

Kaynakça

  • [1] Bishop, L. R., There is more than one way to frame a curve. Am. Math. Monthly, 82 (1975), no.3, 246-251.
  • [2] Büyükkütük, S. and Öztürk, G., Constant ratio curves according to parallel transport frame in Euclidean 4-space E3. Adv. New Trends in Math. Sciences, 4 (2015), 171-178.
  • [3] Büyükkütük, S. and Öztürk, G., Constant ratio curves according to Bishop frame in Euclidean 3-space E3. Gen. Math. Notes, 28 (2015),no.1, 81-91.
  • [4] Chen, B. Y., Constant ratio hypersurfaces. Soochow J. Math., 28 (2001), 353-362.
  • [5] Chen, B. Y., More on convolution of Riemannian manifolds. Beitrage Algebra Geom., 44 (2003), no.1,9-24.
  • [6] Chen, B. Y., Geometry of position functions of Riemannian submanifolds in pseudo-Euclidean space. J. Geom., 74 (2002), 61-77.
  • [7] Gürpinar, S., Arslan, K. and Öztürk, G., A characterization of constant-ratio curves in Euclidean 3-space E3. (2014), arXiv:1410.5577.
  • [8] Kisi, I. and Öztürk, G., Constant ratio curves according to Bishop frame in Minkowski 3-space Facta Universitatis(NIS), 30 (2015),no.4, 527-538.
  • [9] Ozyilmaz, E., Classical differential geometry of curves according to type-2 bishop trihedra. Mathematical and Computational Applications, 16 (2011),no.4, 858-867.
  • [10] 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 10 adet kaynakça vardır.

Ayrıntılar

Birincil Dil İngilizce
Bölüm Araştırma Makalesi
Yazarlar

Hülya Gün Bozok

Sezin Aykurt Sepet

Mahmut Ergüt Bu kişi benim

Yayımlanma Tarihi 29 Ekim 2017
Yayımlandığı Sayı Yıl 2017 Cilt: 10 Sayı: 2

Kaynak Göster

APA Bozok, H. G., Aykurt Sepet, S., & Ergüt, M. (2017). Some Characterizations of Constant Ratio Curves According to Type-2 Bishop Frame in Euclidean 3-space E^3. International Electronic Journal of Geometry, 10(2), 67-72. https://doi.org/10.36890/iejg.545054
AMA Bozok HG, Aykurt Sepet S, Ergüt M. Some Characterizations of Constant Ratio Curves According to Type-2 Bishop Frame in Euclidean 3-space E^3. Int. Electron. J. Geom. Ekim 2017;10(2):67-72. doi:10.36890/iejg.545054
Chicago Bozok, Hülya Gün, Sezin Aykurt Sepet, ve Mahmut Ergüt. “Some Characterizations of Constant Ratio Curves According to Type-2 Bishop Frame in Euclidean 3-Space E^3”. International Electronic Journal of Geometry 10, sy. 2 (Ekim 2017): 67-72. https://doi.org/10.36890/iejg.545054.
EndNote Bozok HG, Aykurt Sepet S, Ergüt M (01 Ekim 2017) Some Characterizations of Constant Ratio Curves According to Type-2 Bishop Frame in Euclidean 3-space E^3. International Electronic Journal of Geometry 10 2 67–72.
IEEE H. G. Bozok, S. Aykurt Sepet, ve M. Ergüt, “Some Characterizations of Constant Ratio Curves According to Type-2 Bishop Frame in Euclidean 3-space E^3”, Int. Electron. J. Geom., c. 10, sy. 2, ss. 67–72, 2017, doi: 10.36890/iejg.545054.
ISNAD Bozok, Hülya Gün vd. “Some Characterizations of Constant Ratio Curves According to Type-2 Bishop Frame in Euclidean 3-Space E^3”. International Electronic Journal of Geometry 10/2 (Ekim 2017), 67-72. https://doi.org/10.36890/iejg.545054.
JAMA Bozok HG, Aykurt Sepet S, Ergüt M. Some Characterizations of Constant Ratio Curves According to Type-2 Bishop Frame in Euclidean 3-space E^3. Int. Electron. J. Geom. 2017;10:67–72.
MLA Bozok, Hülya Gün vd. “Some Characterizations of Constant Ratio Curves According to Type-2 Bishop Frame in Euclidean 3-Space E^3”. International Electronic Journal of Geometry, c. 10, sy. 2, 2017, ss. 67-72, doi:10.36890/iejg.545054.
Vancouver Bozok HG, Aykurt Sepet S, Ergüt M. Some Characterizations of Constant Ratio Curves According to Type-2 Bishop Frame in Euclidean 3-space E^3. Int. Electron. J. Geom. 2017;10(2):67-72.

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