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Bendable surfaces without visible deformations of their shape - MaRDI portal

Bendable surfaces without visible deformations of their shape (Q2049292)

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scientific article; zbMATH DE number 7384974
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English
Bendable surfaces without visible deformations of their shape
scientific article; zbMATH DE number 7384974

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    Bendable surfaces without visible deformations of their shape (English)
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    25 August 2021
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    From the author's 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 \(\mathbb{R}^3\).
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    curve
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    initial point of measuring length
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    slide bending
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    cylindrical surface
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    conical surface
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    trivial and nontrivial slide bendings of cylindrical and conical surfaces
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