Infinitesimal Rigidity of Convex Polyhedra through the Second Derivative of the Hilbert–Einstein Functional

DOI10.4153/CJM-2013-031-9zbMath1303.52012arXiv1105.5066OpenAlexW2322115086WikidataQ125989482 ScholiaQ125989482MaRDI QIDQ2876529

Ivan Izmestiev

Publication date: 19 August 2014

Published in: Canadian Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1105.5066

zbMATH Keywords

rigidityconvex polyhedronMinkowski theoremHilbert-Einstein functionalDehn's theorem

Mathematics Subject Classification ID

Rigidity results (53C24) Rigidity and flexibility of structures (aspects of discrete geometry) (52C25)

Related Items (6)

Duality structures and discrete conformal variations of piecewise constant curvature surfaces ⋮ Prescribed curvature problem for discrete conformality on convex spherical cone-metrics ⋮ SHAPES OF POLYHEDRA, MIXED VOLUMES AND HYPERBOLIC GEOMETRY ⋮ Volume and rigidity of hyperbolic polyhedral 3‐manifolds ⋮ The rigidity of hypersurfaces in Euclidean space ⋮ Variational properties of the discrete Hilbert-Einstein functional

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