Some characterizations of curves of AW(k)-type according to the Bishop frame

Cilt: 2 Sayı: 3 1 Aralık 2014
  • Yasin Unluturk
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Some characterizations of curves of AW(k)-type in the Bishop frame

Abstract

In this paper, we consider curves of AW(k)-type with harmonic curvatures in the Bishop frame in Euclidean space. Moreover,we obtain slant helices of AW(k)-type according to the Bishop frame in Euclidean space

Keywords

Kaynakça

  1. K. Arslan and A. West, Product submanifolds with pointwise 3-planar normal sections, Glasgow Math. J., 37, 73-81, (1995).
  2. K. Arslan and C. ¨Ozg¨ur, Curves and surfaces of AW (k)-type, Geometry and Topology of Submanifolds IX, World Scientific, 21-26, (1997).
  3. K. Arslan, Y. C¸ elik and H. H. Hacısalihoglu, On harmonic curvatures of Frenet curve, Commum. Fac. Sci. Univ. Ank. Series A1, 49, 15-23, (2000).
  4. L. R. Bishop, There is more than one way to frame a curve, Amer. Math. Monthly, 82(3), 246-251, (1975).
  5. B. Bukcu and M. K. Karacan, The slant helices according to Bishop frame, World Academy of Science, Engineering and Technology, 59, 1039-1042, (2009).
  6. C¸ . Camcı, L. Kula and M. Altınok, On spherical slant helices in Euclidean 3-space, arXiv: 1308.5532v3, (2013).
  7. M. K. Karacan and B. Bukcu, On natural curvatures of Bishop frame, Journal of Vectorial Relativity, 5, 34-41, (2010).
  8. B. Kılıc and K. Arslan, On curves and surfaces of AW (k)-type, BAU Fen Bil. Enst. Dergisi, 6(1), 52-61, (2004).

Ayrıntılar

Birincil Dil

Türkçe

Konular

-

Bölüm

-

Yazarlar

Yasin Unluturk Bu kişi benim

Yayımlanma Tarihi

1 Aralık 2014

Gönderilme Tarihi

13 Mart 2015

Kabul Tarihi

-

Yayımlandığı Sayı

Yıl 2014 Cilt: 2 Sayı: 3

Kaynak Göster

APA
Unluturk, Y. (2014). Some characterizations of curves of AW(k)-type according to the Bishop frame. New Trends in Mathematical Sciences, 2(3), 206-213. https://izlik.org/JA38JT54UX
AMA
1.Unluturk Y. Some characterizations of curves of AW(k)-type according to the Bishop frame. New Trends in Mathematical Sciences. 2014;2(3):206-213. https://izlik.org/JA38JT54UX
Chicago
Unluturk, Yasin. 2014. “Some characterizations of curves of AW(k)-type according to the Bishop frame”. New Trends in Mathematical Sciences 2 (3): 206-13. https://izlik.org/JA38JT54UX.
EndNote
Unluturk Y (01 Aralık 2014) Some characterizations of curves of AW(k)-type according to the Bishop frame. New Trends in Mathematical Sciences 2 3 206–213.
IEEE
[1]Y. Unluturk, “Some characterizations of curves of AW(k)-type according to the Bishop frame”, New Trends in Mathematical Sciences, c. 2, sy 3, ss. 206–213, Ara. 2014, [çevrimiçi]. Erişim adresi: https://izlik.org/JA38JT54UX
ISNAD
Unluturk, Yasin. “Some characterizations of curves of AW(k)-type according to the Bishop frame”. New Trends in Mathematical Sciences 2/3 (01 Aralık 2014): 206-213. https://izlik.org/JA38JT54UX.
JAMA
1.Unluturk Y. Some characterizations of curves of AW(k)-type according to the Bishop frame. New Trends in Mathematical Sciences. 2014;2:206–213.
MLA
Unluturk, Yasin. “Some characterizations of curves of AW(k)-type according to the Bishop frame”. New Trends in Mathematical Sciences, c. 2, sy 3, Aralık 2014, ss. 206-13, https://izlik.org/JA38JT54UX.
Vancouver
1.Yasin Unluturk. Some characterizations of curves of AW(k)-type according to the Bishop frame. New Trends in Mathematical Sciences [Internet]. 01 Aralık 2014;2(3):206-13. Erişim adresi: https://izlik.org/JA38JT54UX