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

Voir la notice de l'article provenant de la source Math-Net.Ru

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. 
@article{MZM_2021_110_1_a10,
     author = {I. Kh. Sabitov},
     title = {Bendable {Surfaces} without {Visible} {Deformations} of {Their} {Shape}},
     journal = {Matemati\v{c}eskie zametki},
     pages = {119--130},
     publisher = {mathdoc},
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     number = {1},
     year = {2021},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_2021_110_1_a10/}
}
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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/