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


Bektas B. , Dursun U.

FILOMAT, cilt.29, ss.381-392, 2015 (SCI İndekslerine Giren Dergi) identifier identifier

  • Cilt numarası: 29 Konu: 3
  • Basım Tarihi: 2015
  • Doi Numarası: 10.2298/fil1503381b
  • Dergi Adı: FILOMAT
  • Sayfa Sayıları: ss.381-392

Özet

In this work, we focus on a class of timelike 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 timelike rotational surface of elliptic and hyperbolic types with pointwise 1-type Gauss map of the first and second kind. We also prove that there exists no flat timelike rotational surface of parabolic type in E-1(4) with pointwise 1-type Gauss map.