Commun. Korean Math. Soc. 2019; 34(1): 267-277
Online first article December 28, 2018 Printed January 31, 2019
https://doi.org/10.4134/CKMS.c170396
Copyright © The Korean Mathematical Society.
Ali \c{C}akmak, Murat Kemal Karacan, Sezai Kiziltu\u{g}
Department of Mathematics; Department of Mathematics; Department of Mathematics
In this study, we define the dual surfaces by $z=f(u)+g(v)$ and also classify these surfaces in $\mathbb{I}_{3}^{1}$ satisfying some algebraic equations in terms of the coordinate functions and the Laplace operators according to fundamental forms of the surface.
Keywords: dual surfaces, simply isotropic space, Monge patch, Laplace operator
MSC numbers: Primary 53A35, 53A40
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