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Matematicheskie Zametki, 2021, Volume 110, Issue 1, Pages 119–130
DOI: https://doi.org/10.4213/mzm13037 (Mi mzm13037) 		 
Bendable Surfaces without Visible Deformations of Their Shape

I. Kh. Sabitov

Lomonosov Moscow State University
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DOI: https://doi.org/10.4213/mzm13037
Abstract: 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.
Received: 09.02.2021
Revised: 28.02.2021
English version:
Mathematical Notes, 2021, Volume 110, Issue 1, Pages 126–134
DOI: https://doi.org/10.1134/S0001434621070130
Bibliographic databases:
Document Type: Article
UDC: 513
Language: Russian
Citation: I. Kh. Sabitov, “Bendable Surfaces without Visible Deformations of Their Shape”, Mat. Zametki, 110:1 (2021), 119–130; Math. Notes, 110:1 (2021), 126–134
Citation in format AMSBIB
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