Dergiler / Turkish Journal of Mathematics / 2012 / Cilt: 36 - Sayı: 4
Flat surfaces in the Minkowski space E31 with pointwise 1-type Gauss map
- Sayfa
- 613–629
- DOI
- —
Özet
In this article, we obtain all nonplanar cylindrical surfaces in the Minkowski space E31 with pointwise 1-type Gauss map of the second kind. We also prove that right circular cones and hyperbolic cones in E31 are the only cones in E31 with pointwise 1-type Gauss map of the second kind. We conclude that there is no tangent developable surface fully lying in E31 with pointwise 1-type Gauss map of the second kind.
Abstract
In this article, we obtain all nonplanar cylindrical surfaces in the Minkowski space E31 with pointwise 1-type Gauss map of the second kind. We also prove that right circular cones and hyperbolic cones in E31 are the only cones in E31 with pointwise 1-type Gauss map of the second kind. We conclude that there is no tangent developable surface fully lying in E31 with pointwise 1-type Gauss map of the second kind.