Flat Rotational Surfaces with Pointwise 1-Type Gauss Map Via Generalized Quaternions
     
Yazarlar (2)
Prof. Dr. Ferdağ KAHRAMAN AKSOYAK Kırşehir Ahi Evran Üniversitesi, Türkiye
Yusuf Yaylı
Ankara Üniversitesi, Türkiye
Makale Türü Özgün Makale (SSCI, AHCI, SCI, SCI-Exp dergilerinde yayınlanan tam makale)
Dergi Adı Proceedings of the National Academy of Sciences India Section A Physical Sciences (Q3)
Dergi ISSN 0369-8203 Wos Dergi Scopus Dergi
Dergi Tarandığı Indeksler SCI-Expanded
Makale Dili İngilizce Basım Tarihi 06-2020
Cilt / Sayı / Sayfa 90 / 2 / 251–257 DOI 10.1007/s40010-018-0565-8
Makale Linki http://dx.doi.org/10.1007/s40010-018-0565-8
Özet
In this paper, we determine a rotational surface by means of generalized quaternions and study this flat rotational surface with pointwise 1-type Gauss map in four-dimensional generalized space E alpha beta 4. Also, for some special cases of alpha and beta, we obtain the characterizations of flat rotational surfaces with pointwise 1-type Gauss map in four-dimensional Euclidean space E-4 and four-dimensional pseudo-Euclidean space E-2(4).
Anahtar Kelimeler
Quaternions | Gauss map | Pointwise 1-type Gauss map | Rotational surface