Bulletin of the Korean Mathematical Society (대한수학회보)

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TRANSLATION SURFACES OF TYPE 2 IN THE THREE DIMENSIONAL SIMPLY ISOTROPIC SPACE 𝕀13

  • Bukcu, Bahaddin (Department of Mathematics Faculty of Sciences and Arts Gazi Osman Pasa University) ;
  • Karacan, Murat Kemal (Department of Mathematics Faculty of Sciences and Arts Usak University) ;
  • Yoon, Dae Won (Department of Mathematics Education and RINS Gyeongsang National University)
  • Received : 2016.05.02
  • Published : 2017.05.31
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Abstract

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.

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References

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