- Turkish Journal of Mathematics
- Vol: 36 Issue: 4
- Flat surfaces in the Minkowski space E31 with pointwise 1-type Gauss map
Flat surfaces in the Minkowski space E31 with pointwise 1-type Gauss map
Authors : Uğur Dursun, Emel Coşkun
Pages : 613-629
View : 10 | Download : 4
Publication Date : 9999-12-31
Article Type : Makaleler
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.Keywords : Gauss map, Pointwise 1-type, Ruled surface, Cone, Cylinder, Developable surface