On the quaternionic B 2 slant helices in the semi-Euclidean space E 2 4
Applied Mathematics and Computation, cilt.218, sa.11, ss.6391-6400, 2012 (SCI-Expanded, Scopus)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 218 Sayı: 11
- Basım Tarihi: 2012
- Doi Numarası: 10.1016/j.amc.2011.12.007
- Dergi Adı: Applied Mathematics and Computation
- Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
- Sayfa Sayıları: ss.6391-6400
- Anahtar Kelimeler: Harmonic curvatures, Semi-Euclidean Space, Semi-real quaternion algebra, Slant helices
- Ankara Üniversitesi Adresli: Evet
Özet
In this paper, we studied quaternionic slant helices which we called semi-real quaternionic B 2 slant helix in four dimensional semi-Euclidean space E 2 4. Also we define the harmonic curvature functions for semi-real quaternionic curves and we give a vector field D which we call Darboux quaternion for semi-real quaternionic B 2 slant helix. And then we obtained some characterizations for semi-real quaternionic B 2 slant helix in the terms of the harmonic curvatures and the Darboux vector field D. © 2011 Elsevier Inc. All rights reserved.