On the quaternionic inclined curves in the semi-Euclidean space E-2(4)
APPLIED MATHEMATICS AND COMPUTATION, cilt.155, sa.2, ss.373-389, 2004 (SCI-Expanded, Scopus)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 155 Sayı: 2
- Basım Tarihi: 2004
- Doi Numarası: 10.1016/s0096-3003(03)00783-5
- Dergi Adı: APPLIED MATHEMATICS AND COMPUTATION
- Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
- Sayfa Sayıları: ss.373-389
- Anahtar Kelimeler: semi-quaternionic inclined curves, semi-quaternionic characterizations, semi-quaternion algebra, semi-Euclidean spaces, semi-Euclidean metric, GEOMETRY
- Akdeniz Üniversitesi Adresli: Hayır
Özet
In this paper, we studied quaternion valued functions and quaternionic inclined curves in the semi-Euclidean space E-2(4). We give Serret-Frenet formulae for the quaternionic curve in the semi-Euclidean space E-2(4). Then we define quaternionic inclined curves and harmonic curvatures for the quaternionic curves in the semi-Euclidean space E-2(4). In addition, we obtained some characterizations for the quaternionic inclined curves in the terms of the harmonic curvatures. (C) 2003 Elsevier Inc. All rights reserved.