Hamilton operators and homothetic motions in R-3
APPLIED MATHEMATICS AND MECHANICS-ENGLISH EDITION, vol.25, no.8, pp.898-902, 2004 (SCI-Expanded, Scopus)
- Publication Type: Article / Article
- Volume: 25 Issue: 8
- Publication Date: 2004
- Doi Number: 10.1007/bf02438797
- Journal Name: APPLIED MATHEMATICS AND MECHANICS-ENGLISH EDITION
- Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
- Page Numbers: pp.898-902
- Keywords: Hamilton operator, homothetic motion, quaternion
- Ankara University Affiliated: Yes
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 R-3. The Hamiltonian operators help us define the homothetic motions on these planes. New characterizations for these motions are investigated.