QUATERNIONS AND HOMOTHETIC MOTIONS IN EUCLIDEAN AND LORENTZIAN SPACES
HONAM MATHEMATICAL JOURNAL, cilt.45, sa.2, ss.198-214, 2023 (ESCI)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 45 Sayı: 2
- Basım Tarihi: 2023
- Doi Numarası: 10.5831/hmj.2023.45.2.198
- Dergi Adı: HONAM MATHEMATICAL JOURNAL
- Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI)
- Sayfa Sayıları: ss.198-214
- Anahtar Kelimeler: Homothetic motion, Hamilton operator, quaternion, Lorentzian space, dual space, kinematics, SURFACES
- Ankara Üniversitesi Adresli: Evet
Özet
In the present paper, we investigate homothetic motions de-termined by quaternions, which is a general form of our previous paper [20]. We introduce a transition between homothetic motions in 3D and 4D Euclidean and Lorentzian spaces. In other words, we give a new method that works as a handy tool for obtaining Lorentzian homothetic motions from Euclidean homothetic motions. Moreover, some remarkable prop-erties of homothetic motions, which are given in former studies on this subject, are also examined by dual transformations. Then, we present applications and visualize them with 3D-plots. Finally, we investigate homothetic motions in dual spaces because of the importance in many fields related to kinematics.