Research Article
BibTex RIS Cite

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

Year 2017, , 67 - 72, 29.10.2017

Hülya Gün Bozok , Sezin Aykurt Sepet , Mahmut Ergüt

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

Abstract

Keywords

Position vector type-2 Bishop fram constant ratio curves

References

  • [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.

Year 2017, , 67 - 72, 29.10.2017

Hülya Gün Bozok , Sezin Aykurt Sepet , Mahmut Ergüt

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

Abstract

References

  • [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.
There are 10 citations in total.

Details

Primary Language English
Journal Section Research Article
Authors

Hülya Gün Bozok

Sezin Aykurt Sepet

Mahmut Ergüt This is me

Publication Date October 29, 2017
Published in Issue Year 2017

Cite

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. October 2017;10(2):67-72. doi:10.36890/iejg.545054
Chicago Bozok, Hülya Gün, Sezin Aykurt Sepet, and 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, no. 2 (October 2017): 67-72. https://doi.org/10.36890/iejg.545054.
EndNote Bozok HG, Aykurt Sepet S, Ergüt M (October 1, 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, and M. Ergüt, “Some Characterizations of Constant Ratio Curves According to Type-2 Bishop Frame in Euclidean 3-space E^3”, Int. Electron. J. Geom., vol. 10, no. 2, pp. 67–72, 2017, doi: 10.36890/iejg.545054.
ISNAD Bozok, Hülya Gün et al. “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 (October 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 et al. “Some Characterizations of Constant Ratio Curves According to Type-2 Bishop Frame in Euclidean 3-Space E^3”. International Electronic Journal of Geometry, vol. 10, no. 2, 2017, pp. 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.

Cited By

A New Approach to Timelike Hypersurfaces of Constant Ratio in I E 1 4
Journal of Mathematics
https://doi.org/10.1155/2023/8495667