Surface Pencils in Euclidean 4-space 𝔼⁴

2015/04/16 by Betül Bulca, Bulca, Betül, Kadri Arslan +1
Computer Science · Engineering · Mathematics · #53C40 #53C42 #Advanced Theoretical and Applied Studies in Material Sciences and Geometry #Computational Geometry and Mesh Generation #Differential Geometry (math.DG) #FOS: Mathematics #Mathematics and Applications

paper · pdf · doi:10.48550/arxiv.1505.04177

openalex publication_date 2015/04/16 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In the present paper we study the problem of constructing a family of surfaces (surface pencils) from a given curve in 4-dimensional Euclidean space 𝔼⁴. We have shown that generalized rotation surfaces in 𝔼⁴ 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 𝔼⁴.

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