ONE-PARAMETER HOMOTHETIC MOTION IN THE MINKOWSKI 3-SPACE

Abstract

A one-parameter homothetic motion in three-dimensional Minkowski spaceis dened by means of the Hamilton operators. We study some properties of this motionand show that it has only one pole point at every instant t: We also obtain the Darbouxvector of the homothetic motion in E3 1 and show that it can be written as multiplicationof two split quaternions.