Simple Rotational Surfaces in Euclidean 4-Space with Generalized 1-type Gauss Map

Turgay N. C., Sağdiç M., KILIÇ E.

International Electronic Journal of Geometry, cilt.18, sa.1, ss.48-59, 2025 (ESCI) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 18 Sayı: 1
  • Basım Tarihi: 2025
  • Doi Numarası: 10.36890/iejg.1482641
  • Dergi Adı: International Electronic Journal of Geometry
  • Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI), Scopus, TR DİZİN (ULAKBİM)
  • Sayfa Sayıları: ss.48-59
  • Anahtar Kelimeler: rotational surfaces with generalized 1-type Gauss map, Submanifolds with finite type Gauss map, surfaces with finite type Gauss map
  • İnönü Üniversitesi Adresli: Evet

Özet

In this paper, we consider simple rotational surfaces in the Euclidean 4-space E4 with the profile curve contained in a 2-plane. In terms of having generalized 1-type Gauss map, we obtain some classification results of minimal surfaces, flat simple rotational surfaces and simple rotational surfaces with constant Gaussian curvature.