• Arslan, Kadri (Department of Mathematics, Uludag University) ;
  • Bulca, Betul (Department of Mathematics, Uludag University) ;
  • Kosova, Didem (Department of Mathematics, Uludag University)
  • Received : 2016.05.06
  • Published : 2017.05.01


In the present study we consider the generalized rotational surfaces in Euclidean spaces. Firstly, we consider generalized tractrices in Euclidean (n + 1)-space $\mathbb{E}^{n+1}$. Further, we introduce some kind of generalized rotational surfaces in Euclidean spaces $\mathbb{E}^3$ and $\mathbb{E}^4$, respectively. We have also obtained some basic properties of generalized rotational surfaces in $\mathbb{E}^4$ and some results of their curvatures. Finally, we give some examples of generalized Beltrami surfaces in $\mathbb{E}^3$ and $\mathbb{E}^4$, respectively.


generalized tractrix;Gaussian curvature;rotational surface;Beltrami surface


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