Tessarines and Homothetic Exponential Motions In 4-Dimensioal Euclidean space

Abstract

In this study, for tessarines in 4-dimension Euclidean space, we describe a variety of algebraic properties and give a matrix that is similar to Hamilton operators and a new exponential motion is defined by this matrix. Then, this exponential motion is proven to be homothetic exponential motion. For this one parameter homothetic exponential motion, we defined some theorems about velocities, pole points, and pole curves. Finally, It is found that this exponential defined by the regular curve of order n curve lying curves on the hypersurface M, at every t- instant, has only one acceleration centre of order (n-1).
Due to the way with tessarines in which the matter is given , the study gives some formulas facts about homothetic exponential motion and variety of algebraic propertieswhich are not generally known.

Keywords

• Tessarines,Homothetic exponential motion,Hyper surface,Regular curve.

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