Geodesic
Ruled Surface Generated by a Curve Lying on a Regular Surface and its Characterizations
Journal for geometry and graphics, Tome 24 (2020) no. 2, pp. 257-267.

Voir la notice de l'article provenant de la source Heldermann Verlag

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.
Classification : 53A05
Mots-clés : Ruled surface, Darboux frame, striction curve, Gaussian curvature, mean curvature, Euclidean 3-space 
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     author = {S. Ouarab and A. O. Chahdi and M. Izid },
     title = {Ruled {Surface} {Generated} by a {Curve} {Lying} on a {Regular} {Surface} and its {Characterizations}},
     journal = {Journal for geometry and graphics},
     pages = {257--267},
     publisher = {mathdoc},
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S. Ouarab; A. O. Chahdi; M. Izid . Ruled Surface Generated by a Curve Lying on a Regular Surface and its Characterizations. Journal for geometry and graphics, Tome 24 (2020) no. 2, pp. 257-267. http://geodesic.mathdoc.fr/item/JGG_2020_24_2_JGG_2020_24_2_a9/