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Hamilton operators and homothetic motions inR 3

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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 R3. The Hamiltonian operators help us define the homothetic motions on these planes. New characterizations for these motions are investigated.

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Authors and Affiliations

  1. Department of Mathematics, Faculty of Sciences, Ankara University, 06100, Tandoĝan, Ankara, Turkey

    Yusuf Yayli Professor, Doctor, Nergiz Yaz & Murat Kemal Karacan

Authors
  1. Yusuf Yayli Professor, Doctor
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  2. Nergiz Yaz
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  3. Murat Kemal Karacan
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Communicated by ZHOU Zhe-wei

Biography: Yusuf Yayli

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Yayli, Y., Yaz, N. & Karacan, M.K. Hamilton operators and homothetic motions inR 3 . Appl Math Mech 25, 898–902 (2004). https://doi.org/10.1007/BF02438797

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  • DOI: https://doi.org/10.1007/BF02438797

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2000 Mathematics Subject Classification

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