Title of article :
Flat Surfaces in the Euclidean Space E³ with Pointwise 1-Type Gauss Map
Author/Authors :
Dursun, Ugur Istanbul Technical University - Faculty of Science and Letters - Department of Mathematics, Turkey
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.
Keywords :
Right cone , cylinder , developable surface , mean curvature , pointwise 1 , type , Gauss map
Journal title :
Bulletin of the Malaysian Mathematical Sciences Society
Journal title :
Bulletin of the Malaysian Mathematical Sciences Society
