ONE-PARAMETER HOMOTHETIC MOTION IN THE MINKOWSKI 3-SPACE

ONE-PARAMETER HOMOTHETIC MOTION IN THE MINKOWSKI
3-SPACE

MEHDI JAFARI, YUSUF YAYLI

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Abstract

A one-parameter homothetic motion in three-dimensional Minkowski space
is dened by means of the Hamilton operators. We study some properties of this motion
and show that it has only one pole point at every instant t: We also obtain the Darboux
vector of the homothetic motion in E3 1 and show that it can be written as multiplication
of two split quaternions.

Keywords

Split quaternion, Hamilton operator, Homothetic motion, pole point