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HAMILTON OPERATORS AND HOMOTHETIC MOTIONS IN R3
Authors:Yusuf Yayli  Nergiz Yaz  Murat Kemal Karacan
Institution:Department of Mathematics, Faculty of Sciences, Ankara University, 06100 Tandogan, Ankara, Turkey
Abstract:Quaternion is a division ring.It is shown that planes passing through the origin can be made a field with the quaternion product in R~3.The Hamiltonian operators help us define the homothetic motions on these planes.New characterizations for these motions are investigated.
Keywords:Hamilton operator  homothetic motion  quaternion
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