Communications of the
Korean Mathematical Society
CKMS

ISSN(Print) 1225-1763 ISSN(Online) 2234-3024

Article

HOME ALL ARTICLES View

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.

Dual surfaces defined by $z=f(u)+g(v)$ in simply isotropic 3-space $\mathbb{I}_{3}^{1}$

Ali \c{C}akmak, Murat Kemal Karacan, Sezai Kiziltu\u{g}

Department of Mathematics; Department of Mathematics; Department of Mathematics

Abstract

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

Stats or Metrics

Share this article on :

Related articles in CKMS

more +