Quaternions and homothetic motions in euclidean and lorentzian spaces
| dc.contributor.author | Yüca, Gülsüm | |
| dc.contributor.author | Yaylı, Yusuf | |
| dc.date.accessioned | 2023-10-19T10:52:59Z | |
| dc.date.available | 2023-10-19T10:52:59Z | |
| dc.date.issued | 2023 | |
| dc.department | Sabire Yazıcı Fen Edebiyat Fakültesi | |
| dc.description.abstract | 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. | |
| dc.identifier.doi | 10.5831/HMJ.2023.45.2.198 | |
| dc.identifier.endpage | 214 | en_US |
| dc.identifier.issn | 1225-293X | |
| dc.identifier.issn | 2288-6176 | |
| dc.identifier.issue | 2 | en_US |
| dc.identifier.startpage | 198 | en_US |
| dc.identifier.uri | https:/dx.doi.org10.5831/HMJ.2023.45.2.198 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.12451/11188 | |
| dc.identifier.volume | 45 | en_US |
| dc.identifier.wosquality | N/A | |
| dc.indekslendigikaynak | Web of Science | |
| dc.language.iso | en | |
| dc.publisher | Honam Mathematical Journal | |
| dc.relation.ispartof | Honam Mathematical Journal | |
| dc.relation.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | |
| dc.rights | info:eu-repo/semantics/closedAccess | |
| dc.subject | Homothetic Motion | |
| dc.subject | Hamilton Operator | |
| dc.subject | Quaternion | |
| dc.subject | Lorentzian Space | |
| dc.subject | Dual Spacekinematics | |
| dc.title | Quaternions and homothetic motions in euclidean and lorentzian spaces | |
| dc.type | Article |
