| Yazarlar |
LEVENT KULA
|
|
YUSUF YAYLI
|
| 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 yayımlanan tam makale |
| Dergi Adı | Journal of the Korean Mathematical Society |
| Dergi Tarandığı Indeksler | SCI-Expanded |
| Makale Dili | İngilizce |
| Basım Tarihi | 11-2007 |
| Cilt No | 44 |
| Sayı | 6 |
| Sayfalar | 1313 / 1327 |
