Rotations on a Lightcone in Minkowski 3-Space

Simsek H., ÖZDEMİR M.

ADVANCES IN APPLIED CLIFFORD ALGEBRAS, cilt.27, sa.3, ss.2841-2853, 2017 (SCI-Expanded) identifier identifier

  • 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.