Geodesic
Ruled Surfaces of Finite Chen-Type
Journal for geometry and graphics, Tome 22 (2018) no. 1, pp. 15-2.

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

We study ruled surfaces in the 3-dimensional Euclidean space which are of finite III-type, that is, they are of finite type, in the sense of B.-Y. Chen, with respect to the third fundamental form. We show that helicoids are the only ruled surfaces of finite III-type.
Classification : 53A05, 47A75
Mots-clés : Surfaces in Euclidean space, surfaces of finite type, Beltrami operator 
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     author = {H. Al-Zoubi and S. Al-Zu'bi and S. Stamatakis and H. Almimi },
     title = {Ruled {Surfaces} of {Finite} {Chen-Type}},
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H. Al-Zoubi; S. Al-Zu'bi; S. Stamatakis; H. Almimi . Ruled Surfaces of Finite Chen-Type. Journal for geometry and graphics, Tome 22 (2018) no. 1, pp. 15-2. http://geodesic.mathdoc.fr/item/JGG_2018_22_1_JGG_2018_22_1_a1/