ON GENERALIZED ROTATIONAL SURFACES IN EUCLIDEAN SPACES
JOURNAL OF THE KOREAN MATHEMATICAL SOCIETY, cilt.54, sa.3, ss.999-1013, 2017 (SCI-Expanded, Scopus)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 54 Sayı: 3
- Basım Tarihi: 2017
- Doi Numarası: 10.4134/jkms.j160330
- Dergi Adı: JOURNAL OF THE KOREAN MATHEMATICAL SOCIETY
- Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
- Sayfa Sayıları: ss.999-1013
- Anahtar Kelimeler: generalized tractrix, Gaussian curvature, rotational surface, Beltrami surface, E-4
- Bursa Uludağ Üniversitesi Adresli: Evet
Özet
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.