Characterizations of Slant Ruled Surfaces in the Euclidean 3-space

Document Type : Research Articles

Authors

1 Delibekirli Village

2 Manisa Celal Bayar University

Abstract

In this study, we give the relationships between the conical curvatures of ruled surfaces generated by the unit vectors of the ruling, central normal and central tangent of a ruled surface in the Euclidean 3-space E^3. We obtain differential equations characterizing slant ruled surfaces and if the reference ruled surface is a slant ruled surface, we give the conditions for the surfaces generated by central normal and central tangent vectors to be slant ruled surfaces.

Keywords