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
From page
469
To page
478
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
Record number
2549870
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