Homothetic Motions at with Split Octonions
Authors : Mehdi Jafari
Pages : 675-681
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Publication Date : 2015-12-15
Article Type : Other
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 .Keywords : Hamilton Operator, split octonion.