On the infinitesimal rigidity of weakly convex polyhedra

dc.creatorConnelly, Robert
dc.creatorSchlenker, Jean-Marc
dc.date2006-06-27
dc.date2006-06-30
dc.date.accessioned2026-07-07T07:17:44Z
dc.date.available2026-07-07T07:17:44Z
dc.descriptionThe main motivation here is a question: whether any polyhedron which can be subdivided into convex pieces without adding a vertex, and which has the same vertices as a convex polyhedron, is infinitesimally rigid. We prove that it is indeed the case for two classes of polyhedra: those obtained from a convex polyhedron by ``denting'' at most two edges at a common vertex, and suspensions with a natural subdivision.
dc.descriptionv2: same as v1 but with 2 figures
dc.identifierhttps://arxiv.org/abs/math/0606681
dc.identifierhttp://arxiv.org/abs/math/0606681
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/114046
dc.subjectDifferential Geometry
dc.titleOn the infinitesimal rigidity of weakly convex polyhedra
dc.typetext

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