Rotations on a Lightcone in Minkowski 3-Space
ADVANCES IN APPLIED CLIFFORD ALGEBRAS, cilt.27, sa.3, ss.2841-2853, 2017 (SCI-Expanded, Scopus)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 27 Sayı: 3
- Basım Tarihi: 2017
- Doi Numarası: 10.1007/s00006-017-0771-5
- Dergi Adı: ADVANCES IN APPLIED CLIFFORD ALGEBRAS
- Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
- Sayfa Sayıları: ss.2841-2853
- Anahtar Kelimeler: g-Rotation matrix, Hyperbolic split quaternion, Null axis, MATRIX
- Akdeniz Üniversitesi Adresli: Evet
Özet
In this paper the generalization of the rotations on any light-cone in Minkowski 3-space R-g(1,2) is given. The rotation motion on the lightcone is examined by means of a bilinear form and Lorentzian notions. We use the corresponding Rodrigues and Cayley formulas and benefit from the hyperbolic split quaternion product to obtain the corresponding rotation matrix.