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Journals / TWMS (Turkic World Mathematical Society) Journal of Applied and Engineering Mathematics / 2016 / Cilt: 6 - Sayı: 1

ONE-PARAMETER HOMOTHETIC MOTION IN THE MINKOWSKI 3-SPACE

Mehdi JAFAR,Yusuf YAYLI

Pages
87–94
DOI
—

Abstract

A one-parameter homothetic motion in three-dimensional Minkowski spaceis defined 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 E1and show that it can be written as multiplicationof two split quaternions.