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Title: | On generalized rotational surfaces in Euclidean spaces |
Authors: | Uludağ Üniversitesi/Fen-Edebiyat Fakültesi/Matematik Bölümü. 0000-0001-5861-0184 0000-0002-1440-7050 Arslan, Kadri Bulca, Betül Kosova, Didem AAG-7693-2021 AAG-8775-2021 6603079141 35226209600 57194131657 |
Keywords: | Mathematics Beltrami surface Gaussian curvature Generalized tractrix Rotational surface E-4 |
Issue Date: | May-2017 |
Publisher: | Korean Mathematical |
Citation: | Arslan, K. vd. (2017). ''On generalized rotational surfaces in Euclidean spaces''. Journal of the Korean Mathematical Society, 54(3), 999-1013. |
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. |
URI: | https://doi.org/10.4134/JKMS.j160330 http://koreascience.or.kr/article/JAKO201717234703074.page http://hdl.handle.net/11452/31151 |
ISSN: | 0304-9914 2234-3008 |
Appears in Collections: | Scopus Web of Science |
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