Rotations with unit timelike quaternions in Minkowski 3-space

Creative Commons License

Ozdemir M., Ergin A. A.

JOURNAL OF GEOMETRY AND PHYSICS, vol.56, no.2, pp.322-336, 2006 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 56 Issue: 2
  • Publication Date: 2006
  • Doi Number: 10.1016/j.geomphys.2005.02.004
  • Journal Name: JOURNAL OF GEOMETRY AND PHYSICS
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.322-336
  • Keywords: quaternions, split quaternions, rotations, Lorentzian geometry, Minkowski 3-space
  • Akdeniz University Affiliated: Yes

Abstract

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.