An analytical inflexibility of surfaces attached along a curve to a surface regarding a point and plane
type: Item
instance of: scholarly article
title: An analytical inflexibility of surfaces attached along a curve to a surface regarding a point and plane
zbMATH Open document ID: 1470.53009
author: Josef Mikeš
author: Mamadiar Sherkuziyev
author: Nasiba Sherkuziyeva
author: O. O. Belova
published in: Results in Mathematics
publication date: 2021-07-07T00:00:00Z
review text: 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 \(\mathbb R^3\).
Mathematics Subject Classification ID: 53A05
zbMATH DE Number: 7369068
zbMATH Keywords: infinitesimal bending
zbMATH Keywords: rigid surface
zbMATH Keywords: developable surface
reviewed by: Vasyl Gorkaviy
MaRDI profile type: Publication
full work available at URL: s00025-021-01362-0
OpenAlex ID: W3138820588
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DOI: 10.1007/S00025-021-01362-0
description: scientific article; zbMATH DE number 7369068