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

Authors : Bahaddin BUKCU, Dae Won YOON, Murat Kemal KARACAN

Pages : 275-281

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Publication Date : 2016-04-01

Article Type : Research Paper

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