Equivalence of continuous, local and infinitesimal rigidity in normed spaces

DOI10.1007/s00454-019-00135-5zbMath1472.52029arXiv1809.01871OpenAlexW2994193496WikidataQ127225933 ScholiaQ127225933MaRDI QIDQ2664105

Sean Dewar

Publication date: 20 April 2021

Published in: Discrete \& Computational Geometry (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1809.01871

zbMATH Keywords

infinitesimal rigiditybar-joint frameworklocal rigidityfinite dimensional normed spacecontinuous rigidity

Mathematics Subject Classification ID

Rigidity and flexibility of structures (aspects of discrete geometry) (52C25) Convexity and finite-dimensional Banach spaces (including special norms, zonoids, etc.) (aspects of convex geometry) (52A21)

Related Items (6)

Which graphs are rigid in \(\ell_p^d\)? ⋮ Generalised rigid body motions in non-Euclidean planes with applications to global rigidity ⋮ Coincident-point rigidity in normed planes ⋮ Infinitesimal Rigidity in Normed Planes ⋮ Homothetic packings of centrally symmetric convex bodies ⋮ Infinitesimal rigidity and prestress stability for frameworks in normed spaces

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