Rotations with unit timelike quaternions in Minkowski 3-space

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Ozdemir M., Ergin A. A.

JOURNAL OF GEOMETRY AND PHYSICS, cilt.56, sa.2, ss.322-336, 2006 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 56 Sayı: 2
  • Basım Tarihi: 2006
  • Doi Numarası: 10.1016/j.geomphys.2005.02.004
  • Dergi Adı: JOURNAL OF GEOMETRY AND PHYSICS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.322-336
  • Anahtar Kelimeler: quaternions, split quaternions, rotations, Lorentzian geometry, Minkowski 3-space
  • Akdeniz Üniversitesi Adresli: Evet

Özet

With the aid of quaternion algebra, rotation in Euclidean space may be dealt with in a simple manner. In this paper, we show that a unit timelike quaternion represents a rotation in the Minkowski 3-space. Also, we express Lorentzian rotation matrix generated with a timelike quaternion.