Title of article :
ONE-PARAMETER HOMOTHETIC MOTION IN THE MINKOWSKI 3-SPACE
Author/Authors :
JAFARI, MEHDI Department of Mathematics - Technical and Vocational university - Urmia, Iran , YAYLI, YUSUF Department of Mathematics - Faculty of science - Ankara University - Ankara, Turkey
Abstract :
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 E
3
1 and show that it can be written as multiplication
of two split quaternions.
Keywords :
Split quaternion , Hamilton operator , Homothetic motion , pole point
Journal title :
Turkish World Mathematical Society Journal of Applied and Engineering Mathematics
