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

Authors

UĞUR DURSUN
EMEL COŞKUN

DOI

10.3906/mat-1104-6

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

First Page

613

Last Page

629

Recommended Citation

DURSUN, UĞUR and COŞKUN, EMEL (2012) "Flat surfaces in the Minkowski space E^3_1 with pointwise 1-type Gauss map," Turkish Journal of Mathematics: Vol. 36: No. 4, Article 12. https://doi.org/10.3906/mat-1104-6
Available at: https://journals.tubitak.gov.tr/math/vol36/iss4/12