Superconformal ruled surfaces in E-4

Bayram B. (., Bulca B., ARSLAN K., Ozturk G.

MATHEMATICAL COMMUNICATIONS, cilt.14, sa.2, ss.235-244, 2009 (SCI-Expanded) 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 E-4. 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 E-4 to become superconformal. We also show that superconformal ruled surfaces in E-4 are Chen surfaces.