Geodesic
A generalization of the Pogorelov–Stocker theorem on complete developable surfaces
Fundamentalʹnaâ i prikladnaâ matematika, Tome 12 (2006) no. 1, pp. 247-252 
I. Kh. Sabitov. A generalization of the Pogorelov–Stocker theorem on complete developable surfaces. Fundamentalʹnaâ i prikladnaâ matematika, Tome 12 (2006) no. 1, pp. 247-252. http://geodesic.mathdoc.fr/item/FPM_2006_12_1_a8/
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Voir la notice de l'article provenant de la source Math-Net.Ru

The well-known Pogorelov theorem stating the cylindricity of any $C^1$-smooth, complete, developable surface of bounded exterior curvature in $\mathbb R^3$ was generalized by Stocker to $C^2$-smooth surfaces with a more general notion of completeness. We extend Stocker's result to $C^1$-smooth surfaces being normal developable in the Burago–Shefel' sense.

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