Generalized Rotation Surfaces in E-4

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

RESULTS IN MATHEMATICS, cilt.61, ss.315-327, 2012 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 61
  • Basım Tarihi: 2012
  • Doi Numarası: 10.1007/s00025-011-0103-3
  • Dergi Adı: RESULTS IN MATHEMATICS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.315-327
  • Anahtar Kelimeler: Ruled surface, Rotation surface, Tensor product surface, Chen surface, CURVES
  • Bursa Uludağ Üniversitesi Adresli: Evet

Özet

In the present study we consider generalized rotation surfaces imbedded in an Euclidean space of four dimensions. We also give some special examples of these surfaces in . Further, the curvature properties of these surfaces are investigated. We give necessary and sufficient conditions for generalized rotation surfaces to become pseudo-umbilical. We also show that every general rotation surface is Chen surface in . Finally we give some examples of generalized rotation surfaces in .