| Yazarlar |
İsmail Gök
Ankara Üniversitesi, Türkiye |
|
Osman Zeki Okuyucu
Bilecik Şeyh Edebali Üniversitesi, Türkiye |
Prof. Dr. Ferdağ KAHRAMAN AKSOYAK
Erciyes Üniversitesi, Türkiye |
|
Hilmi Hacısalihoğlu
|
| Özet |
| In this paper we give a new definition of harmonic curvature functions in terms of B-2 and we define a new kind of slant helix which we call quaternionic B-2-slant helix in 4-dimensional Euclidean space E-4 by using the new harmonic curvature functions. Also we define a vector field D which we call Darboux quaternion of the real quaternionic B-2-slant helix in 4-dimensional Euclidean space E-4 and we give a new characterization such as: "alpha : I subset of R -> E-4 is a quaternionic B-2-slant helix double left right arrow H-2 - KH1 = 0" where H-2, H-1 are harmonic curvature functions and K is the principal curvature function of the curve alpha. |
| Anahtar Kelimeler |
| Slant helices, harmonic curvature functions, Euclidean spaces, quaternion algebra |
| Makale Türü | Özgün Makale |
| Makale Alt Türü | SSCI, AHCI, SCI, SCI-Exp dergilerinde yayımlanan tam makale |
| Dergi Adı | Advances in Applied Clifford Algebras |
| Dergi ISSN | 0188-7009 |
| Dergi Tarandığı Indeksler | SCI-Expanded |
| Dergi Grubu | Q3 |
| Makale Dili | İngilizce |
| Basım Tarihi | 12-2011 |
| Cilt No | 21 |
| Sayı | 4 |
| Sayfalar | 707 / 719 |
| Doi Numarası | 10.1007/s00006-011-0284-6 |
| Makale Linki | http://link.springer.com/10.1007/s00006-011-0284-6 |
| Atıf Sayıları | |
| WoS | 24 |
| SCOPUS | 22 |
| Google Scholar | 60 |
