Homothetic motions in Euclidean 3-space

Authors

  • MEHDI JAFARI Department of mathematics, Urmia university, Urmia, IRAN

Keywords:

, Hamilton operator, homothetic motion, pole point

Abstract

A one-parameter homothetic motion of a rigid body in three-dimensional Euclidean space is defined by means of the Hamilton operators. We investigate some properties of this motion and show that it has only one pole point at every instant  Furthermore, the Darboux vector of the motion can be written as multiplication of two quaternions

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Published

07-01-2014