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http://dx.doi.org/10.4134/JKMS.j160330

ON GENERALIZED ROTATIONAL SURFACES IN EUCLIDEAN SPACES  

Arslan, Kadri (Department of Mathematics, Uludag University)
Bulca, Betul (Department of Mathematics, Uludag University)
Kosova, Didem (Department of Mathematics, Uludag University)
Publication Information
Journal of the Korean Mathematical Society / v.54, no.3, 2017 , pp. 999-1013 More about this Journal
Abstract
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.
Keywords
generalized tractrix; Gaussian curvature; rotational surface; Beltrami surface;
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Times Cited By KSCI : 1  (Citation Analysis)
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