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http://dx.doi.org/10.4134/BKMS.b160442

TRANSLATION SURFACES IN THE 3-DIMENSIONAL GALILEAN SPACE SATISFYING ∆IIxi=λixi  

Cakmak, Ali (Department of Mathematics Faculty of Sciences and Arts Bitlis Eren University)
Karacan, Murat Kemal (Department of Mathematics Faculty of Sciences and Arts Usak University 1 Eylul Campus)
Kiziltug, Sezai (Department of Mathematics Faculty of Arts and Sciences Erzincan University)
Yoon, Dae Won (Department of Mathematics Education and RINS Gyeongsang National University)
Publication Information
Bulletin of the Korean Mathematical Society / v.54, no.4, 2017 , pp. 1241-1254 More about this Journal
Abstract
In this paper, we classify translation surfaces in the three dimensional Galilean space ${\mathbb{G}}_3$ 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.
Keywords
Laplace operator; Galilean space; translation surfaces;
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