A Characterization of Chen surfaces in E4

yigun E., ARSLAN K., Öztürk G.

Bulletin of the Malaysian Mathematical Sciences Society, cilt.31, sa.2, ss.209-215, 2008 (Scopus) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 31 Sayı: 2
  • Basım Tarihi: 2008
  • Dergi Adı: Bulletin of the Malaysian Mathematical Sciences Society
  • Derginin Tarandığı İndeksler: Scopus
  • Sayfa Sayıları: ss.209-215
  • Anahtar Kelimeler: Curvature ellipse, Normal curvature, Second fundamental form, Surface
  • Bursa Uludağ Üniversitesi Adresli: Evet

Özet

In the present study, we calculate the coefficients of the second fundamental form and curvature ellipse of Chen surfaces in E4. Further, we give the necessary and sufficent condition for the origin of NpM to lie on the curvature ellipse of Vranceanu surfaces, which are special type of Chen surfaces.