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