Translation surfaces in the 3-dimensional Galilean space satisfying ΔII xi = λixi
Bulletin of the Korean Mathematical Society, vol.54, no.4, pp.1241-1254, 2017 (SCI-Expanded, Scopus)
- Publication Type: Article / Article
- Volume: 54 Issue: 4
- Publication Date: 2017
- Doi Number: 10.4134/bkms.b160442
- Journal Name: Bulletin of the Korean Mathematical Society
- Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
- Page Numbers: pp.1241-1254
- Keywords: Galilean space, Laplace operator, Translation surfaces
- Uşak University Affiliated: Yes
Abstract
In this paper, we classify translation surfaces in the three dimensional Galilean space G3 satisfying some algebraic equations in terms of the coordinate functions and the Laplacian operators with respect to the second fundamental form of the surface. We also give explicit forms of these surfaces.