Maxwell-Laman counts for bar-joint frameworks in normed spaces

DOI10.1016/j.laa.2015.05.007zbMath1318.52018arXiv1406.0998OpenAlexW258977970MaRDI QIDQ2350012

Bernd Schulze, Derek Kitson

Publication date: 18 June 2015

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1406.0998

zbMATH Keywords

Minkowski geometryinfinitesimal rigiditybar-joint frameworkrigidity matrixsymmetric framework

Mathematics Subject Classification ID

Graphs and linear algebra (matrices, eigenvalues, etc.) (05C50) 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) Applications of group representations to physics and other areas of science (20C35) Minkowski geometries in nonlinear incidence geometry (51B20)

Related Items

Equivalence of continuous, local and infinitesimal rigidity in normed spaces, Generalised rigid body motions in non-Euclidean planes with applications to global rigidity, Angle measures, general rotations, and roulettes in normed planes, Infinitesimal Rigidity in Normed Planes, Graph rigidity for unitarily invariant matrix norms, The combinatorial geometry of stresses in frameworks, Rigidity of symmetric frameworks in normed spaces, Motions of grid-like reflection frameworks, The rigidity of infinite graphs, Symmetric isostatic frameworks with \(\ell^1\) or \(\ell^\infty\) distance constraints, Geometric Criteria for Realizability of Tensegrities in Higher Dimensions, Homothetic packings of centrally symmetric convex bodies

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