Turkish Journal of Mathematics
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.
DOI
10.3906/mat-1104-6
Keywords
Gauss map, Pointwise 1-type, Ruled surface, Cone, Cylinder, Developable surface
First Page
613
Last Page
629
Recommended Citation
DURSUN, U, & COŞKUN, E (2012). Flat surfaces in the Minkowski space E^3_1 with pointwise 1-type Gauss map. Turkish Journal of Mathematics 36 (4): 613-629. https://doi.org/10.3906/mat-1104-6
