An Investigation of Timelike Aminov Surface with respect to its Gauss Map in Minkowski Space-time

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BÜYÜKKÜTÜK S.

International Electronic Journal of Geometry, cilt.16, sa.1, ss.171-180, 2023 (ESCI) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 16 Sayı: 1
  • Basım Tarihi: 2023
  • Doi Numarası: 10.36890/iejg.1195178
  • Dergi Adı: International Electronic Journal of Geometry
  • Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI), Scopus, TR DİZİN (ULAKBİM)
  • Sayfa Sayıları: ss.171-180
  • Anahtar Kelimeler: Aminov surface, Gauss map, Minkowski 4−space
  • Kocaeli Üniversitesi Adresli: Evet

Özet

In this work, we handle timelike Aminov surfaces in E41 with respect to having pointwise one type Gauss map. First, we get the Laplacian of the Gauss map of this type of surface. Then, we obtain that there is no timelike Aminov surface having harmonic Gauss map and also pointwise one type Gauss map of the first kind in Minkowski 4− space. Further, we yield the conditions of having pointwise one type Gauss map of the second kind.