
handle: 11729/2581
A one-parameter homothetic motion in three-dimensional Minkowski space is defined 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? and show that it can be written as multiplication of two split quaternions. Publisher's Version
Split quaternion, Homothetic motion, Split quaternion;Hamilton operator;Homothetic motion;pole point, Pole point, Hamilton operator
Split quaternion, Homothetic motion, Split quaternion;Hamilton operator;Homothetic motion;pole point, Pole point, Hamilton operator
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