| Yazarlar (2) |
Prof. Dr. Levent KULA
Kırşehir Ahi Evran Üniversitesi, Türkiye |
Yusuf Yaylı
Ankara Üniversitesi, Türkiye |
| Özet |
| We review the algebraic structure of H' and show that H' has a scalar product that allows as to identify it with semi Euclidean E-2(4) We show that a pair q and p of unit split quaternions in H' determines a rotation R-qp : H' <-> H'. Moreover, we prove that R-qp is a product of rotations in a pair of orthogonal planes in E-2(4). To do that we call upon one tool from the theory of second ordinary differential equations. |
| Anahtar Kelimeler |
| hyperbolic number | split quaternion | generalized inverse | rotation | timelike plane of index 1 | timelike plane of index 2 | spacelike plane |
| Makale Türü | Özgün Makale |
| Makale Alt Türü | SSCI, AHCI, SCI, SCI-Exp dergilerinde yayınlanan tam makale |
| Dergi Adı | Journal of the Korean Mathematical Society |
| Dergi ISSN | 0304-9914 Wos Dergi Scopus Dergi |
| Dergi Tarandığı Indeksler | SCI |
| Dergi Grubu | Q4 |
| Makale Dili | İngilizce |
| Basım Tarihi | 11-2007 |
| Cilt No | 44 |
| Sayı | 6 |
| Sayfalar | 15 / 1327 |
| Doi Numarası | 10.4134/JKMS.2007.44.6.1313 |
| Makale Linki | https://doi.org/10.4134/jkms.2007.44.6.1313 |
| Atıf Sayıları | |
| WoS | 108 |
| SCOPUS | 107 |
| Google Scholar | 179 |
