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Flat Rotational Surfaces with Pointwise 1-Type Gauss Map Via Generalized Quaternions     
Yazarlar
Prof. Dr. Ferdağ KAHRAMAN AKSOYAK 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 06-2020
Cilt No 90
Sayı 2
Sayfalar 251 / 257
Doi Numarası 10.1007/s40010-018-0565-8
Makale Linki http://dx.doi.org/10.1007/s40010-018-0565-8