On generalized rotational surfaces in Euclidean spaces

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Date

2017-05

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Korean Mathematical

Abstract

In the present study we consider the generalized rotational surfaces in Euclidean spaces. Firstly, we consider generalized tractrices in Euclidean (n + 1)-space En+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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Keywords

Mathematics, Beltrami surface, Gaussian curvature, Generalized tractrix, Rotational surface, E-4

Citation

Arslan, K. vd. (2017). ''On generalized rotational surfaces in Euclidean spaces''. Journal of the Korean Mathematical Society, 54(3), 999-1013.