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Bull. Korean Math. Soc. 2017; 54(3): 953-965
Online first article March 20, 2017 Printed May 31, 2017
https://doi.org/10.4134/BKMS.b160377
Copyright © The Korean Mathematical Society.
Translation surfaces of Type 2 in the three dimensional simply isotropic space $\mathbb{I}_{3}^{1}$
Bahaddin Bukcu, Murat Kemal Karacan, and Dae Won Yoon
Gazi Osman Pasa University, Usak University, Gyeongsang National University
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
MSC numbers: 53A35, 53B30, 53A40
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