Applied Mathematics and Mechanics

, Volume 25, Issue 8, pp 898–902 | Cite as

Hamilton operators and homothetic motions inR 3

  • Yusuf Yayli
  • Nergiz Yaz
  • Murat Kemal Karacan


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.

Key words

Hamilton operator homothetic motion quaternion 

Chinese Library Classification

O151.23 O316 O311 

2000 Mathematics Subject Classification

11R52 70B05 


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Copyright information

© Editorial Committee of Applied Mathematics and Mechanics 2004

Authors and Affiliations

  • Yusuf Yayli
    • 1
  • Nergiz Yaz
    • 1
  • Murat Kemal Karacan
    • 1
  1. 1.Department of Mathematics, Faculty of SciencesAnkara UniversityTandoĝan, AnkaraTurkey

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