Hamilton operators and homothetic motions in R-3

Yayli Y., Yaz N., Karacan M.

APPLIED MATHEMATICS AND MECHANICS-ENGLISH EDITION, cilt.25, sa.8, ss.898-902, 2004 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 25 Sayı: 8
  • Basım Tarihi: 2004
  • Doi Numarası: 10.1007/bf02438797
  • Dergi Adı: APPLIED MATHEMATICS AND MECHANICS-ENGLISH EDITION
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.898-902
  • Anahtar Kelimeler: Hamilton operator, homothetic motion, quaternion
  • Ankara Üniversitesi Adresli: Evet

Özet

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.