On dual surfaces in Galilean 3-space

YÜKSEL N.

AIMS Mathematics, cilt.8, sa.2, ss.4830-4842, 2023 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 8 Sayı: 2
  • Basım Tarihi: 2023
  • Doi Numarası: 10.3934/math.2023240
  • Dergi Adı: AIMS Mathematics
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Social Sciences Citation Index (SSCI), Scopus, Directory of Open Access Journals
  • Sayfa Sayıları: ss.4830-4842
  • Anahtar Kelimeler: dual surfaces, dual translation surfaces, Galilean 3-space, LN-surfaces, translation surfaces
  • Erciyes Üniversitesi Adresli: Evet

Özet

© 2023 the Author(s), licensee AIMS Press.In the present paper, we describe dual translation surfaces in the Galilean 3-space having the constant Gaussian and mean curvatures as well as Weingarten and linear Weingarten dual translation surfaces. We also study dual translation surfaces in G3 under the condition ∆I I r = λi ri, where λi ∈ R and ∆I I denotes the Laplacian operator respect to the second fundamental form.