Singularities of Hinge Structures

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dc.creatorBorcea, Ciprian S.
dc.creatorStreinu, Ileana
dc.date2008-12-07
dc.date.accessioned2026-07-07T12:10:07Z
dc.date.available2026-07-07T12:10:07Z
dc.descriptionMotivated by the hinge structure present in protein chains and other molecular conformations, we study the singularities of certain maps associated to body-and-hinge and panel-and-hinge chains. These are sequentially articulated systems where two consecutive rigid pieces are connected by a hinge, that is, a codimension two axis. The singularities, or critical points, correspond to a dimensional drop in the linear span of the axes, regarded as points on a Grassmann variety in its Plücker embedding. These results are valid in arbitrary dimension. The three dimensional case is also relevant in robotics.
dc.identifierhttps://arxiv.org/abs/0812.1373
dc.identifierhttp://arxiv.org/abs/0812.1373
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/209848
dc.subjectDifferential Geometry
dc.subject53A17
dc.titleSingularities of Hinge Structures
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