Rotations with unit timelike quaternions in Minkowski 3-space

Ozdemir, MUSTAFA; Ergin, ABDULLAH

doi:10.1016/j.geomphys.2005.02.004

Rotations with unit timelike quaternions in Minkowski 3-space

Ozdemir M., Ergin A. A.

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

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
Open Archive Collection: AVESIS Open Access Collection
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.