Flat surfaces in the Minkowski space E31 with pointwise 1-type Gauss map
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.
Anahtar Kelimeler:
Gauss map, Pointwise 1-type, Ruled surface, Cone, Cylinder, Developable surface
Flat surfaces in the Minkowski space E31 with pointwise 1-type Gauss map
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,
- ISSN: 1300-0098
- Yayın Aralığı: Yılda 6 Sayı
- Yayıncı: TÜBİTAK
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Flat surfaces in the Minkowski space E31 with pointwise 1-type Gauss map
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