Surface pencils in Euclidean 4-space E-4

---

Atıf İçin Kopyala

BULCA B., ARSLAN K.

ASIAN-EUROPEAN JOURNAL OF MATHEMATICS, cilt.9, sa.4, 2016 (ESCI)

• Yayın Türü: Makale / Tam Makale
• Cilt numarası: 9 Sayı: 4
• Basım Tarihi: 2016
• Doi Numarası: 10.1142/s1793557116500741
• Dergi Adı: ASIAN-EUROPEAN JOURNAL OF MATHEMATICS
• Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI), Scopus, zbMATH
• Bursa Uludağ Üniversitesi Adresli: Evet

Özet

In 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.