Spacelike Rotational Surfaces of Elliptic, Hyperbolic and Parabolic Types in Minkowski Space E-1(4) with Pointwise 1-Type Gauss Map

DURSUN, UĞUR; Bektaş, Burcu

doi:10.1007/s11040-014-9153-6

Spacelike Rotational Surfaces of Elliptic, Hyperbolic and Parabolic Types in Minkowski Space E-1(4) with Pointwise 1-Type Gauss Map

Atıf İçin Kopyala

DURSUN U., Bektaş B.

MATHEMATICAL PHYSICS ANALYSIS AND GEOMETRY, cilt.17, ss.247-263, 2014 (SCI-Expanded)

Yayın Türü: Makale / Tam Makale
Cilt numarası: 17
Basım Tarihi: 2014
Doi Numarası: 10.1007/s11040-014-9153-6
Dergi Adı: MATHEMATICAL PHYSICS ANALYSIS AND GEOMETRY
Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
Sayfa Sayıları: ss.247-263
İstanbul Teknik Üniversitesi Adresli: Evet

Özet

In this paper, we consider a class of spacelike rotational surfaces in Minkowski space E-1(4) with 2-dimensional axis. There are three types of rotational surfaces with 2-dimensional axis, called rotational surfaces of elliptic, hyperbolic or parabolic type. We obtain all flat spacelike rotational surfaces of elliptic and hyperbolic types with pointwise 1-type Gauss map. We also determine flat spacelike rotational surface of parabolic type with pointwise 1-type Gauss map of the first kind. Then, we conclude that there exists no flat spacelike rotational surface of parabolic type in E-1(4) with pointwise 1-type Gauss map of the second kind.