2024-11-192024-11-192016-12-011793-5571https://doi.org/10.1142/S1793557116500741https://hdl.handle.net/11452/48129In this paper, we study the problem of constructing a family of surfaces (surface pencils) from a given curve in 4-dimensional Euclidean space E-4. We have shown that the generalized rotation surfaces in E-4 are the special type of surface pencils. Further, the curvature properties of these surfaces are investigated. Finally, we give some examples of flat surface pencils in E-4.eninfo:eu-repo/semantics/closedAccessParametric representationCommon lineSurface pencilMarching-scale functionGaussian curvatureScience & technologyPhysical sciencesMathematicsArticle0003893118000059410.1142/S1793557116500741