Quaternions and homothetic motions in euclidean and lorentzian spaces
Yükleniyor...
Dosyalar
Tarih
2023
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Honam Mathematical Journal
Erişim Hakkı
info:eu-repo/semantics/closedAccess
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.
Açıklama
Anahtar Kelimeler
Homothetic Motion, Hamilton Operator, Quaternion, Lorentzian Space, Dual Spacekinematics
Kaynak
Honam Mathematical Journal
WoS Q Değeri
N/A
Scopus Q Değeri
Cilt
45
Sayı
2
