Öz
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
Anahtar Kelimeler
Bishop frame Frenet frame AW(k)-type harmonic curvature slant helices
Kaynakça
- K. Arslan and A. West, Product submanifolds with pointwise 3-planar normal sections, Glasgow Math. J., 37, 73-81, (1995).
- K. Arslan and C. ¨Ozg¨ur, Curves and surfaces of AW (k)-type, Geometry and Topology of Submanifolds IX, World Scientific, 21-26, (1997).
- 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).
- L. R. Bishop, There is more than one way to frame a curve, Amer. Math. Monthly, 82(3), 246-251, (1975).
- B. Bukcu and M. K. Karacan, The slant helices according to Bishop frame, World Academy of Science, Engineering and Technology, 59, 1039-1042, (2009).
- C¸ . Camcı, L. Kula and M. Altınok, On spherical slant helices in Euclidean 3-space, arXiv: 1308.5532v3, (2013).
- M. K. Karacan and B. Bukcu, On natural curvatures of Bishop frame, Journal of Vectorial Relativity, 5, 34-41, (2010).
- B. Kılıc and K. Arslan, On curves and surfaces of AW (k)-type, BAU Fen Bil. Enst. Dergisi, 6(1), 52-61, (2004).
- ˙I. Kisi and G. ¨Ozt¨urk, AW (k)-type curves according to the Bishop frame, arXiv: 1305.3381, (2013).
- C. ¨Ozg¨ur and F. Gezgin, On some curves of AW (k)-type, Differential Geometry-Dynamical Systems, 7, 74-80, (2005).
- D. ¨Unal, ˙I. Kisi and M. Tosun, Spinor Bishop equations of curves in Euclidean 3-space, Advances in Applied Clifford Algebras, 23(3), 757-765, (2013).
- H.H. Hacısalihoglu, Diferensiyel Geometri, ˙In¨on¨u ¨Universitesi Yayınları, Malatya, (1995).
- A. Sabuncuoglu, Diferensiyel Geometri, Nobel Yayınları, Ankara, (2004).
Öz
Kaynakça
- K. Arslan and A. West, Product submanifolds with pointwise 3-planar normal sections, Glasgow Math. J., 37, 73-81, (1995).
- K. Arslan and C. ¨Ozg¨ur, Curves and surfaces of AW (k)-type, Geometry and Topology of Submanifolds IX, World Scientific, 21-26, (1997).
- 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).
- L. R. Bishop, There is more than one way to frame a curve, Amer. Math. Monthly, 82(3), 246-251, (1975).
- B. Bukcu and M. K. Karacan, The slant helices according to Bishop frame, World Academy of Science, Engineering and Technology, 59, 1039-1042, (2009).
- C¸ . Camcı, L. Kula and M. Altınok, On spherical slant helices in Euclidean 3-space, arXiv: 1308.5532v3, (2013).
- M. K. Karacan and B. Bukcu, On natural curvatures of Bishop frame, Journal of Vectorial Relativity, 5, 34-41, (2010).
- B. Kılıc and K. Arslan, On curves and surfaces of AW (k)-type, BAU Fen Bil. Enst. Dergisi, 6(1), 52-61, (2004).
- ˙I. Kisi and G. ¨Ozt¨urk, AW (k)-type curves according to the Bishop frame, arXiv: 1305.3381, (2013).
- C. ¨Ozg¨ur and F. Gezgin, On some curves of AW (k)-type, Differential Geometry-Dynamical Systems, 7, 74-80, (2005).
- D. ¨Unal, ˙I. Kisi and M. Tosun, Spinor Bishop equations of curves in Euclidean 3-space, Advances in Applied Clifford Algebras, 23(3), 757-765, (2013).
- H.H. Hacısalihoglu, Diferensiyel Geometri, ˙In¨on¨u ¨Universitesi Yayınları, Malatya, (1995).
- A. Sabuncuoglu, Diferensiyel Geometri, Nobel Yayınları, Ankara, (2004).
Ayrıntılar
| Bölüm | Articles |
|---|---|
| Yazarlar | |
| Yayımlanma Tarihi | 1 Aralık 2014 |
| Yayımlandığı Sayı | Yıl 2014 Cilt: 2 Sayı: 3 |