Cayley Formula, Euler Parameters and Rotations in 3-Dimensional Lorentzian Space
Abstract
In this study, by using Lorentzian matrix multiplication, Cayley formula and Euler parameters of a Lorentzian orthogonal matrix are obtained in Lorentz space L(3). Then, by using Euler parameters of a rotation in a split quaternion, the split quaternion equation of a rotation movement is obtained in the space L(3).