BULLETIN OF THE MALAYSIAN MATHEMATICAL SCIENCES SOCIETY, vol.33, no.3, pp.469-478, 2010 (SCI-Expanded)
Article / Article
BULLETIN OF THE MALAYSIAN MATHEMATICAL SCIENCES SOCIETY
Science Citation Index Expanded (SCI-EXPANDED), Scopus
Istanbul Technical University Affiliated:
In this article we prove that a fiat nonplanar surface in the Euclidean space E-3 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 E-3 with pointwise 1-type Gauss map of the second kind.