paper

Characterizations of Slant Ruled Surfaces in the Euclidean 3-space

arXiv:1311.6928

Abstract

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

arXiv admin note: text overlap with arXiv:1311.0625

References in corpus (3)