SPLIT QUATERNIONS AND ROTATIONS IN SEMI EUCLIDEAN SPACE E42
Yazarlar (2)
Prof. Dr. Levent KULA
Ankara Üniversitesi, Türkiye
Ankara Üniversitesi, Türkiye
| Makale Türü |
Özgün Makale
(SSCI, AHCI, SCI, SCI-Exp dergilerinde yayınlanan tam makale)
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| Dergi Adı | Journal of the Korean Mathematical Society (Q4) | ||
| Dergi ISSN | 0304-9914 Wos Dergi Scopus Dergi | ||
| Dergi Tarandığı Indeksler | SCI | ||
| Makale Dili | İngilizce | Basım Tarihi | 11-2007 |
| Cilt / Sayı / Sayfa | 44 / 6 / 1313–1327 | DOI | 10.4134/JKMS.2007.44.6.1313 |
| Makale Linki | https://doi.org/10.4134/jkms.2007.44.6.1313 | ||
| 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 |
| Atıf Sayıları | |
| WoS | 110 |
| SCOPUS | 109 |
| Google Scholar | 181 |