Flat Rotational Surfaces with Pointwise 1-Type Gauss Map Via Generalized Quaternions

AKSOYAK, FERDAĞ; YAYLI, YUSUF

doi:10.1007/s40010-018-0565-8

Flat Rotational Surfaces with Pointwise 1-Type Gauss Map Via Generalized Quaternions

PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES INDIA SECTION A-PHYSICAL SCIENCES, cilt.90, sa.2, ss.251-257, 2020 (SCI-Expanded)

Yayın Türü: Makale / Tam Makale
Cilt numarası: 90 Sayı: 2
Basım Tarihi: 2020
Doi Numarası: 10.1007/s40010-018-0565-8
Dergi Adı: PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES INDIA SECTION A-PHYSICAL SCIENCES
Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, INSPEC, zbMATH
Sayfa Sayıları: ss.251-257
Anahtar Kelimeler: Quaternions, Gauss map, Pointwise 1-type Gauss map, Rotational surface, E-4
Ankara Üniversitesi Adresli: Evet

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).