Cyclic surfaces in E1 5 generated by homothetic motions

Saglam D., Kabadayi H., YAYLI Y.

Iranian Journal of Science and Technology, Transaction A: Science, cilt.34, sa.1, ss.19-26, 2010 (SCI-Expanded) identifier

  • 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.