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Dergiler / Konuralp Journal of Mathematics / 2016 / Cilt: 4 - Sayı: 1

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

Bahaddin BUKCU, Dae Won YOON, Murat Kemal KARACAN

Sayfa
275–281
DOI
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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.