Generalized Rotation Surfaces in E-4

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

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

  • Cilt numarası: 61
  • Basım Tarihi: 2012
  • Doi Numarası: 10.1007/s00025-011-0103-3
  • Dergi Adı: RESULTS IN MATHEMATICS
  • Sayfa Sayısı: ss.315-327

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 .