Geodesic
Bendable Surfaces without Visible Deformations of Their Shape
Matematičeskie zametki, Tome 110 (2021) no. 1, pp. 119-130

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It is proved that the slide bendings of cylindrical and conical surfaces are trivial only in the cases of a right circular cylinder and a right circular cone, and that in all other cases, such bendings are nontrivial, although the surfaces do not change as loci in $\mathbb{R}^3$.
Keywords: curve, initial point of measuring length, slide bending, cylindrical surface, conical surface, trivial and nontrivial slide bendings of cylindrical and conical surfaces. 
I. Kh. Sabitov. Bendable Surfaces without Visible Deformations of Their Shape. Matematičeskie zametki, Tome 110 (2021) no. 1, pp. 119-130. http://geodesic.mathdoc.fr/item/MZM_2021_110_1_a10/
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