On generalized rotational surfaces in Euclidean spaces
Date
2017-05
Authors
Journal Title
Journal ISSN
Volume Title
Publisher
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.
Description
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.