General Rotational Surfaces in Pseudo-Euclidean 4-Space with Neutral Metric

Aleksieva, Yana; Milousheva, Velichka; Turgay, Nurettin

doi:10.1007/s40840-016-0425-0

General Rotational Surfaces in Pseudo-Euclidean 4-Space with Neutral Metric

Atıf İçin Kopyala

Aleksieva Y., Milousheva V., Turgay N. C.

BULLETIN OF THE MALAYSIAN MATHEMATICAL SCIENCES SOCIETY, cilt.41, sa.4, ss.1773-1793, 2018 (SCI-Expanded)

Yayın Türü: Makale / Tam Makale
Cilt numarası: 41 Sayı: 4
Basım Tarihi: 2018
Doi Numarası: 10.1007/s40840-016-0425-0
Dergi Adı: BULLETIN OF THE MALAYSIAN MATHEMATICAL SCIENCES SOCIETY
Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
Sayfa Sayıları: ss.1773-1793
İstanbul Teknik Üniversitesi Adresli: Evet

Özet

We define general rotational surfaces of elliptic and hyperbolic type in the pseudo-Euclidean 4-space with neutral metric which are analogous to the general rotational surfaces of C. Moore in the Euclidean 4-space. We study Lorentz general rotational surfaces with plane meridian curves and give the complete classification of minimal general rotational surfaces of elliptic and hyperbolic type, general rotational surfaces with parallel normalized mean curvature vector field, flat general rotational surfaces, and general rotational surfaces with flat normal connection.