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Flat Rotational Surfaces with Pointwise 1-Type Gauss Map Via Generalized Quaternions     
Yazarlar
Prof. Dr. Ferdağ KAHRAMAN AKSOYAK
Kırşehir Ahi Evran Üniversitesi, Türkiye
Yusuf Yaylı
Türkiye
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
Makale Türü Özgün Makale
Makale Alt Türü SSCI, AHCI, SCI, SCI-Exp dergilerinde yayımlanan tam makale
Dergi Adı Proceedings of the National Academy of Sciences, India Section A: Physical Sciences
Dergi ISSN 0369-8203
Dergi Tarandığı Indeksler SCI-Expanded
Dergi Grubu Q3
Makale Dili İngilizce
Basım Tarihi 04-2020
Cilt No 90
Sayı 2
Sayfalar 251 / 257
Doi Numarası DOI 10.1007/s40010-018-0565-8
Makale Linki http://dx.doi.org/10.1007/s40010-018-0565-8