On rectifying ruled surfaces

Abstract

In this study, we define general rectifying ruled surfaces in the Euclidean 3-space E3 . We give some characterizations of rectifying ruled surfaces by considering the curvatures of base curve. We obtain the Gaussian curvature and the mean curvature and we investigate the condition for the surface to be minimal. Moreover, we give characterizations for some special curves lying on this surface. Finally, we obtain the relationships between rectifying ruled surfaces and slant ruled surfaces. © 2020 University of Kuwait. All rights reserved.