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
Bilecik Seyh Edebali University
| 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 |
| Kabul Tarihi | 12-04-2026 | Yayınlanma Tarihi | – |
| 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 B2 and we define a new kind of slant helix which we call quaternionic B2–slant helix in 4–dimensional Euclidean space E4 by using the new harmonic curvature functions. Also we define a vector field D which we call Darboux quaternion of the real quaternionic B2–slant helix in 4–dimensional Euclidean space E4 and we give a new characterization such as: \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$${``\alpha : I \subset {\mathbb R} \rightarrow E^4}$$\end{document} is a quaternionic B2–slant helix \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts … |
| Anahtar Kelimeler |
| Euclidean spaces | harmonic curvature functions | quaternion algebra | Slant helices |
| Atıf Sayıları | |
| Google Scholar | 68 |
| Web of Science | 29 |