Timelike quaternion frame of a non-lightlike curve
Beitrage zur Algebra und Geometrie, cilt.49, sa.2, ss.325-333, 2008 (Scopus)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 49 Sayı: 2
- Basım Tarihi: 2008
- Dergi Adı: Beitrage zur Algebra und Geometrie
- Derginin Tarandığı İndeksler: Scopus
- Sayfa Sayıları: ss.325-333
- Anahtar Kelimeler: Frenet formulas, Non-lightlike curves, Split quaternion
- Akdeniz Üniversitesi Adresli: Evet
Özet
A rotation matrix can be generated by a unit timelike quaternion in the three dimensional Minkowski space. In this paper, we correspond columns of this rotation matrix to Frenet vectors of a nonlightlike curve and we find a reformulation of Frenet's formulas of nonlightlike curves in terms of the timelike quaternions in the Minkowski 3-space. Moreover, we do same things for the parallel transport frame. MSC 2000: 53B30, 53A04, 15A66. © 2008 Heldermann Verlag.