Helicoidal Surfaces in the three dimensional simply isotropic space I₃¹

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Published: Jun 30, 2017
DOI: https://doi.org/10.5556/j.tkjm.48.2017.2200
Keywords:
Simply isotropic space helicoidal surfaces Laplacian operator.

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Murat Kemal Karacan
Dae Won Yoon
Sezai Kiziltug

Abstract

In this paper, we classify helicoidal surfaces in the three dimensional simply isotropic space  I₃¹ 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.

Article Details

How to Cite
Karacan, M. K., Yoon, D. W., & Kiziltug, S. (2017). Helicoidal Surfaces in the three dimensional simply isotropic space I₃¹. Tamkang Journal of Mathematics, 48(2), 123–134. https://doi.org/10.5556/j.tkjm.48.2017.2200
Issue
Vol. 48 No. 2 (2017)
Section
Papers
Author Biographies

Murat Kemal Karacan

Usak University, Faculty of Sciences and Arts,Department ofMathematics, 1 Eylul Campus, 64200, Usak-TURKEY.

Dae Won Yoon

Department ofMathematics Education and RINS, GyeongsangNational University Jinju 660-701, South Korea.

Sezai Kiziltug

Department ofMathematics, Faculty of Arts and Sciences, Erzincan University, 24000 Erzincan, Turkey.

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