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Dergiler / International Electronic Journal of Geometry / 2017 / Volume: 10 Issue: 2

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

Hülya Gün Bozok
Sezin Aykurt Sepet
Mahmut Ergüt
Sayfa
—
Yayın Tarihi
2017-10-29
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Bu Makaleye Atıf Yap

Bozok, H. G., Sepet, S. A., 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, Volume: 10 Issue: 2. https://doi.org/10.36890/iejg.545054

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Kaynakça (10)

  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.