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| Volume 33 • Number 3 • 2010 |
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Flat Surfaces in the Euclidean Space E3 with Pointwise 1-Type Gauss Map
Ugur Dursun
Abstract.
In this article we prove that a flat nonplanar surface in the Euclidean space
 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
with pointwise 1-type Gauss
map of the second kind.
2010 Mathematics Subject Classification: 53B25, 53C40.
Full text: PDF
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