Hamilton Operators and Homothetic Motions in <em>R</em><sup>3</sup>

Yusuf Yayli; Nergiz Yaz; Murat Kemal Karacan

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Yusuf Yayli, Nergiz Yaz, Murat Kemal Karacan. Hamilton Operators and Homothetic Motions in R3[J]. Applied Mathematics and Mechanics, 2004, 25(8): 819-823.

Citation:

Yusuf Yayli, Nergiz Yaz, Murat Kemal Karacan. Hamilton Operators and Homothetic Motions in R³[J]. Applied Mathematics and Mechanics, 2004, 25(8): 819-823.

Yusuf Yayli, Nergiz Yaz, Murat Kemal Karacan. Hamilton Operators and Homothetic Motions in R3[J]. Applied Mathematics and Mechanics, 2004, 25(8): 819-823.

Citation:

Yusuf Yayli, Nergiz Yaz, Murat Kemal Karacan. Hamilton Operators and Homothetic Motions in R³[J]. Applied Mathematics and Mechanics, 2004, 25(8): 819-823.

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Hamilton Operators and Homothetic Motions in R³

Department of Mathematics, Faculty of Sciences, Ankara University, 06100 Tandogan, Ankara, Turkey

Received Date: 2002-09-27
Publish Date: 2004-08-15

Abstract

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.
- Hamilton operator,
- homothetic motion,
- quaternion

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References(5)

References

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