DUAL SPLIT QUATERNIONS AND SCREW MOTION IN MINKOWSKI 3-SPACE

Document Type: Regular Paper

Authors

Ankara University, Faculty of Science, Department of Mathematics 06100 Tandogan, Ankara, Turkey

Abstract

In this paper, two new Hamilton operators are defined and the algebra of dual split quaternions is
developed using these operators. It is shown that finite screw motions in Minkowski 3-space can be expressed
by dual-number ( 3×3 ) matrices in dual Lorentzian space. Moreover, by means of Hamilton operators, screw
motion is obtained in 3-dimensional Minkowski space 3
R1

Keywords