Soukaina Ouarab, Amina Ouazzani Chahdi, Malika Izid
Department of Mathematics and Computer Science
Ben M’Sik Faculty of Sciences, Hassan II University of Casablanca, Morocco
soukaina.ouarab.sma@gmail.com, ouazzaniamina@hotmail.com, izid.malika@gmail.com
Abstract.
In this paper, we construct and study special ruled surfaces, whose rulings are linear combinations of Darboux frame vectors of its base curve relative to an arbitrary regular surface in euclidean 3-space. We give the relationship between both Darboux frames of the common curve relative to the two surfaces, and investigate different properties of the constructed ruled surface. Moreover,
we presente three examples with illustrations in the real euclidean 3-space.
Key Words: ruled surface, Darboux frame, striction curve, Gaussian curvature, mean curvature, Euclidean 3-space
Publication-3