Generalized Rotation Surfaces in E-4


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

RESULTS IN MATHEMATICS, vol.61, pp.315-327, 2012 (Peer-Reviewed Journal) identifier identifier

  • Publication Type: Article / Article
  • Volume: 61
  • Publication Date: 2012
  • Doi Number: 10.1007/s00025-011-0103-3
  • Journal Name: RESULTS IN MATHEMATICS
  • Journal Indexes: Science Citation Index Expanded, Scopus
  • Page Numbers: pp.315-327
  • Keywords: Ruled surface, Rotation surface, Tensor product surface, Chen surface, CURVES

Abstract

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 .