ONE-PARAMETER HOMOTHETIC MOTION IN THE MINKOWSKI 3-SPACE

Year 2016, Volume: 6 Issue: 1, 87 - 94, 01.06.2016

M. Jafari Y. Yaylı

https://izlik.org/JA78TP82TN

Abstract

A one-parameter homothetic motion in three-dimensional Minkowski spaceis dened 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.

Keywords

Split quaternion , Hamilton operator , Homothetic motion , pole point

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