Title of article :
Flat surfaces in the Minkowski space E^3_1 with pointwise 1-type Gauss map
Author/Authors :
Dursun, Ugur Istanbul Technical University - Faculty of Science and Letters - Department of Mathematics, Turkey , Coskun, Emel Istanbul Technical University - Faculty of Science and Letters - Department of Mathematics, Turkey
Abstract :
In this article, we obtain all nonplanar cylindrical surfaces in the Minkowski space E^3_1 with pointwise 1-type Gauss map of the second kind. We also prove that right circular cones and hyperbolic cones in E^3_1 are the only cones in E^3_1 with pointwise 1-type Gauss map of the second kind. We conclude that there is no tangent developable surface fully lying in E^3_1 with pointwise 1-type Gauss map of the second kind.
Keywords :
Gauss map , Pointwise 1 , type , Ruled surface , Cone , Cylinder , Developable surface
Journal title :
Turkish Journal of Mathematics
Journal title :
Turkish Journal of Mathematics
