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An analytical inflexibility of surfaces attached along a curve to a surface regarding a point and plane - MaRDI portal

An analytical inflexibility of surfaces attached along a curve to a surface regarding a point and plane (Q2038599)

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scientific article; zbMATH DE number 7369068
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An analytical inflexibility of surfaces attached along a curve to a surface regarding a point and plane
scientific article; zbMATH DE number 7369068

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    An analytical inflexibility of surfaces attached along a curve to a surface regarding a point and plane (English)
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    7 July 2021
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    The paper under review concerns the classical theory of infinitesimal bendings of surfaces in \(\mathbb R^3\). The authors consider two particular families of surfaces, developable surfaces without flat regions and biconnected surfaces of revolution, and prove that every surface in question, \(F\subset \mathbb R^3\), is analytically inflexible under the condition that \(F\) is fastened along a curve \(\gamma\subset F\) with respect to a point and a plane in \(\mathbb R^3\).
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    infinitesimal bending
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    rigid surface
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    developable surface
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