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Dergiler / TWMS Journal of Applied and Engineering Mathematics / 2016 / Cilt: 6 - Sayı: 1

ONE-PARAMETER HOMOTHETIC MOTION IN THE MINKOWSKI 3-SPACE

M. JAFARİ, Y. YAYLI

Sayfa
87–94
DOI
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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.