Applied Mathematics and Mechanics (English Edition) ›› 2004, Vol. 25 ›› Issue (8): 898-902.

• Articles • Previous Articles     Next Articles

HAMILTON OPERATORS AND HOMOTHETIC MOTIONS IN R3

Yusuf Yayli, Nergiz Yaz, Murat Kemal Karacan   

  1. Department of Mathematics, Faculty of Sciences, Ankara University, 06100 Tandogan, Ankara, Turkey
  • Received:2002-09-27 Online:2004-08-18 Published:2004-08-18

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.

Key words: Hamilton operator, homothetic motion, quaternion

2010 MSC Number: 

APS Journals | CSTAM Journals | AMS Journals | EMS Journals | ASME Journals