Generalized Rotation Surfaces in E ~4

摘要

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 E ~4. 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 E ~4. Finally we give some examples of generalized rotation surfaces in E ~4.