Superconformal ruled surfaces in E4

Bayram B., Bulca B., ARSLAN K., Öztürk G.

Mathematical Communications, cilt.14, sa.2, ss.235-244, 2009 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 14 Sayı: 2
  • Basım Tarihi: 2009
  • Dergi Adı: Mathematical Communications
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.235-244
  • Anahtar Kelimeler: ruled surface, curvature ellipse, superconformal surface, GEOMETRY
  • Bursa Uludağ Üniversitesi Adresli: Evet

Özet

In the present study we consider ruled surfaces imbedded in a Euclidean space of four dimensions. We also give some special examples of ruled surfaces in E4. Further, the curvature properties of these surface are investigated with respect to variation of normal vectors and curvature ellipse. Finally, we give a necessary and sufficient condition for ruled surfaces in E4 to become superconformal. We also show that superconformal ruled surfaces in E4 are Chen surfaces. ©2009 Department of Mathematics, University of Osijek.