Dual translation surfaces in the three dimensional simply isotropic space $\mathbb{I}_{3}^{1}$


  • Mohamd Saleem Lone
  • Murat Kemal Karacan




Dual surface, simply isotropic space, translation surface


In this paper, we study the dual translation surfaces in three dimensional simply isotropic space. We give classification of dual translation surface with constant dual isotropic mean curvature or constant dual isotropic Guassian curvature.

Author Biographies

Mohamd Saleem Lone

Department ofMathematics, Central University of Jammu, J& K, 180011, India.

Murat Kemal Karacan

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


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How to Cite

Lone, M. S., & Karacan, M. K. (2018). Dual translation surfaces in the three dimensional simply isotropic space $\mathbb{I}_{3}^{1}$. Tamkang Journal of Mathematics, 49(1), 67–77. https://doi.org/10.5556/j.tkjm.49.2018.2476