Flat surfaces in the Minkowski space E^3_1 with pointwise 1-type Gauss map

Authors: UĞUR DURSUN, EMEL COŞKUN

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

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