Ruled Surfaces According to Bishop Frame in the Euclidean 3-Space

Abstract

Attempts have been made to introduce ruled surfaces generated from any vector X, Bishop Darboux vector and Bishop vectors. Some properties with respect to developable and minimal and the relations between the integral invariants of these surfaces are discussed. Also the fundamental forms, geodesic curvatures, normal curvatures and geodesic torsions are calculated, and some results are obtained.