TRANSLATION SURFACES IN THE 3-DIMENSIONAL SIMPLY ISOTROPIC SPACE I13 SATISFYING
IIIxi = ixi

Year 2016, Volume: 4 Issue: 1, 275 - 281, 01.04.2016

Bahaddin Bukcu , Dae Won Yoon , Murat Kemal Karacan

Abstract

In this paper, we classify translation surfaces in the three dimen- sional simply isotropic space I13 satisfying some algebraic equations in terms of the coordinate functions and the Laplacian operators with respect to the third fundamental form of the surface. We also give explicit forms of these surfaces.

Keywords

Simply isotropic space, translation surfaces, Laplace operator

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