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- Title
Flat Surfaces in the Euclidean Space E<sup>3</sup> with Pointwise 1-Type Gauss Map.
- Authors
Dursun, Uğur
- Abstract
In this article we prove that a at nonplanar surface in the Euclidean space E3 with pointwise 1-type Gauss map of the second kind is either a right circular cone or a cylinder such that the curvature of the base curve satisfies a specific differential equation. We conclude that there is no tangent developable surface in E3 with pointwise 1-type Gauss map of the second kind.
- Subjects
CYLINDER (Shapes); CURVATURE; GAUSS maps; EUCLIDEAN algorithm; CONES (Operator theory); DIFFERENTIAL equations; SUBMANIFOLDS; HYPERSURFACES; SMOOTHNESS of functions
- Publication
Bulletin of the Malaysian Mathematical Sciences Society, 2010, Vol 33, Issue 3, p469
- ISSN
0126-6705
- Publication type
Article