TY  - JOUR
T1  - ONE-PARAMETER HOMOTHETIC MOTION IN THE MINKOWSKI 3-SPACE
AU  - Jafari, M.
AU  - Yaylı, Y.
PY  - 2016
DA  - June
JF  - TWMS Journal of Applied and Engineering Mathematics
JO  - JAEM
PB  - Işık University Press
WT  - DergiPark
SN  - 2146-1147
SP  - 87
EP  - 94
VL  - 6
IS  - 1
LA  - en
AB  - 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.
KW  - Split quaternion
KW  - Hamilton operator
KW  - Homothetic motion
KW  - pole point
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CR  - Jafari,M. and Yayli,Y., (2014), Matrix Theory over the Split Quaternions, International journal of geometry, 3(2).
CR  - Jafari,M., (2014), Homothetic motions in Euclidean 3-space, Kuwait journal of science, Vol. 41(1), pp. 65-73.
CR  - Ozdemir,M. and Ergin,A.A., (2006), Rotation with unit timelike quaternions in Minkowski 3-space, Journal of Geometry and Physics, 56, pp. 322-336.
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CR  - Yayli,Y., (1988), Hamilton operators and Lie groups, Ph.D. thesis, Gazi University, Ankara, Turkey.
UR  - https://dergipark.org.tr/en/pub/twmsjaem/issue//761294
L1  - https://dergipark.org.tr/en/download/article-file/1179716
ER  -