Homothetic Motions at with Split Octonions

Abstract

In this paper, a matrix which is similar to Hamilton operators has been developed for split-octonions in eight dimensional semi-Euclidean space and a new motion has been defined by this matrix. It is shown that this is a homothetic motion. Furthermore, it is found that the motion defined by a regular curve of order r has only one acceleration center of order (r-1) at every instant t.