the present paper is concerned with the generalization of the holditch theorem under oneparameterhomothetic motion on lorentzian planes. in this paper, for the homothetic lorentzian motion, weexpressed the steiner formula. furthermore, we present the holditch-type theorems.

Geometric algebra is a useful tool to overcome some problems in kinematics. Thus, the geometric has attracted attention of many researchers. In this paper, quaternion operators on curves and surfaces Euclidean 3-space are defined by using algebra. These generate or from points, surfaces. Using operators, we obtain motions that have orbits along generated curve surface. Also, these expressed as ...

The conformal Killing equations for the most general (nonplane wave) conformally flat pure radiation field are solved to find the conformal Killing vectors. As expected fifteen independent conformal Killing vectors exist, but in general the metric admits no Killing or homothetic vectors. However for certain special cases a one-dimensional group of homotheties or motions may exist and in one ver...