Cyclic surfaces in E1 5 generated by homothetic motions
Iranian Journal of Science and Technology, Transaction A: Science, cilt.34, sa.1, ss.19-26, 2010 (SCI-Expanded, Scopus)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 34 Sayı: 1
- Basım Tarihi: 2010
- Dergi Adı: Iranian Journal of Science and Technology, Transaction A: Science
- Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
- Sayfa Sayıları: ss.19-26
- Anahtar Kelimeler: Cyclic surfaces, Homothetic motions, Minkowski space
- Ankara Üniversitesi Adresli: Evet
Özet
In this paper, we study cyclic surfaces in E15 generated by homothetic motions of a Lorentzian circle. The properties of these cyclic surfaces up to first order are investigated. We show that, as it is shown in E5, cyclic 2-surfaces in E15, in general, are contained in canal hypersurfaces. Finally, we give an example. © Shiraz University.