HAMILTON OPERATORS AND HOMOTHETIC MOTIONS IN R3

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

HAMILTON OPERATORS AND HOMOTHETIC MOTIONS IN R³

Yusuf Yayli, Nergiz Yaz, Murat Kemal Karacan

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

收稿日期:2002-09-27 出版日期:2004-08-18 发布日期:2004-08-18

HAMILTON OPERATORS AND HOMOTHETIC MOTIONS IN R³

Yusuf Yayli, Nergiz Yaz, Murat Kemal Karacan

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

Received:2002-09-27 Online:2004-08-18 Published:2004-08-18

摘要/Abstract

摘要： 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.

关键词: Hamilton operator, homothetic motion, quaternion

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

中图分类号:

Yusuf Yayli;Nergiz Yaz;Murat Kemal Karacan. HAMILTON OPERATORS AND HOMOTHETIC MOTIONS IN R³[J]. Applied Mathematics and Mechanics (English Edition), 2004, 25(8): 898-902.

Yusuf Yayli;Nergiz Yaz;Murat Kemal Karacan . HAMILTON OPERATORS AND HOMOTHETIC MOTIONS IN R³[J]. Applied Mathematics and Mechanics (English Edition), 2004, 25(8): 898-902.

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