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http://dx.doi.org/10.4134/BKMS.b160377

TRANSLATION SURFACES OF TYPE 2 IN THE THREE DIMENSIONAL SIMPLY ISOTROPIC SPACE 𝕀13  

Bukcu, Bahaddin (Department of Mathematics Faculty of Sciences and Arts Gazi Osman Pasa University)
Karacan, Murat Kemal (Department of Mathematics Faculty of Sciences and Arts Usak University)
Yoon, Dae Won (Department of Mathematics Education and RINS Gyeongsang National University)
Publication Information
Bulletin of the Korean Mathematical Society / v.54, no.3, 2017 , pp. 953-965 More about this Journal
Abstract
In this paper, we classify translation surfaces of Type 2 in the three dimensional simply isotropic space ${\mathbb{I}}_3^1$ satisfying some algebraic equations in terms of the coordinate functions and the Laplacian operators with respect to the first, the second and the third fundamental form of the surface. We also give explicit forms of these surfaces.
Keywords
Laplace operator; simply isotropic space; translation surfaces;
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