On the Quaternionic B 2 Slant Helices in the Euclidean Space E 4
Yazarlar (4)
İsmail Gök Ankara Üniversitesi, Türkiye
Osman Zeki Okuyucu Bilecik Şeyh Edebali Üniversitesi, Türkiye
Prof. Dr. Ferdağ KAHRAMAN AKSOYAK Erciyes Üniversitesi, Türkiye
Hilmi Hacısalihoğlu
Bilecik Seyh Edebali University, Türkiye
Bilecik Seyh Edebali University, Türkiye
| Makale Türü | Özgün Makale (SSCI, AHCI, SCI, SCI-Exp dergilerinde yayınlanan tam makale) | ||
| Dergi Adı | ADVANCES IN APPLIED CLIFFORD ALGEBRAS (Q3) | ||
| Dergi ISSN | 0188-7009 Wos Dergi Scopus Dergi | ||
| Dergi Tarandığı Indeksler | SCI-Expanded | ||
| Makale Dili | İngilizce | Basım Tarihi | 12-2011 |
| Cilt / Sayı / Sayfa | 21 / 4 / 707–719 | DOI | 10.1007/s00006-011-0284-6 |
| Makale Linki | http://link.springer.com/10.1007/s00006-011-0284-6 | ||
| 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 |
| Euclidean spaces | harmonic curvature functions | quaternion algebra | Slant helices |
| Atıf Sayıları | |
| WoS | 29 |
| Google Scholar | 70 |