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Dergiler / International Electronic Journal of Geometry / 2017 / Cilt: 10 - Sayı: 2

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

Hülya BOZOK GÜN
Sezin Aykurt Sepet and MAHMUT ERGÜT
Sayfa
67–72
Yayın Tarihi
2022-10-18
DOI
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⚡ TL;DR(1 Cümlede Hızlı Çıkarım)

Moreover we obtain some results ofT-constantandN-constant type curves in the 3-dimensional Euclidean spaceE3.

📌 3 Maddede Bu Makale

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Amaç & Hipotez:In this paper, we study a twisted curve in the 3-dimensional Euclidean spaceE3as a curve whoseposition vector can be determined as linear combination of its type-2 Bishop frame.
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Temel Bulgular & Veri:We researchthese curves according to their curvature functions.
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Sonuç & Katkı:Moreover we obtain some results ofT-constantandN-constant type curves in the 3-dimensional Euclidean spaceE3.
🔬Tür:Araştırma Makalesi
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Alan Parametreleri

Abstract

In this paper, we study a twisted curve in the 3-dimensional Euclidean spaceE3as a curve whoseposition vector can be determined as linear combination of its type-2 Bishop frame. We researchthese curves according to their curvature functions. Moreover we obtain some results ofT-constantandN-constant type curves in the 3-dimensional Euclidean spaceE3.

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Bu Makaleye Atıf Yap

GÜN, H. B., ERGÜT, S. A. S. A. M. (2022). Some Characterizations of Constant Ratio Curves According to Type-2 Bishop Frame in Euclidean 3-space E. International Electronic Journal of Geometry, Cilt: 10 - Sayı: 2, 67–72. https://ajindex.com/articles/539688

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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 E3. 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.