Helicoidal surfaces in the three dimensional simply isotropic space 〉31

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KARACAN M. K., Yoon D., KIZILTUĞ S.

Tamkang Journal of Mathematics, vol.48, no.2, pp.123-134, 2017 (Scopus) identifier

  • Publication Type: Article / Article
  • Volume: 48 Issue: 2
  • Publication Date: 2017
  • Doi Number: 10.5556/j.tkjm.48.2017.2200
  • Journal Name: Tamkang Journal of Mathematics
  • Journal Indexes: Scopus
  • Page Numbers: pp.123-134
  • Keywords: Helicoidal surfaces, Laplacian operator, Simply isotropic space
  • Uşak University Affiliated: Yes

Abstract

In this paper, we classify helicoidal surfaces in the three dimensional simply isotropic space 〉31 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 formof the surface. We also give explicit forms of these surfaces.