A note on the first-order flexes of smooth surfaces which are tangent to the set of all nonrigid surfaces

DOI10.1007/s00022-021-00607-1zbMath1481.53007arXiv2109.03503OpenAlexW3207720110MaRDI QIDQ2051392

Yanyan Li

Publication date: 24 November 2021

Published in: Journal of Geometry (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2109.03503

zbMATH Keywords

first-order flexinfinitesimal flex of a surfacesecond-order flexset of nonrigid surfaces

Mathematics Subject Classification ID

Rigidity results (53C24) Surfaces in Euclidean and related spaces (53A05) Rigidity and flexibility of structures (aspects of discrete geometry) (52C25)

Cites Work

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• The rigidity of graphs. II
• The relation between \(k\)-th order rigidity and analytic nondeformability of surfaces
• Verbiegungen höherer Ordnung und ebene Flächenrinnen
• Necessary conditions for the extendibility of a first-order flex of a polyhedron to its flex
• Second-Order Rigidity and Prestress Stability for Tensegrity Frameworks
• <scp>Almost‐Rigidity</scp> of Frameworks

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