On dual surfaces in Galilean 3-space

YÜKSEL N.

AIMS Mathematics, vol.8, no.2, pp.4830-4842, 2023 (SCI-Expanded, SSCI, Scopus) identifier identifier

  • Publication Type: Article / Article
  • Volume: 8 Issue: 2
  • Publication Date: 2023
  • Doi Number: 10.3934/math.2023240
  • Journal Name: AIMS Mathematics
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Social Sciences Citation Index (SSCI), Scopus, Directory of Open Access Journals
  • Page Numbers: pp.4830-4842
  • Keywords: dual surfaces, dual translation surfaces, Galilean 3-space, LN-surfaces, translation surfaces
  • Erciyes University Affiliated: Yes

Abstract

© 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.